find the radius of a circle given two points calculator

y_2 = - \frac{x_1 - x_0}{y_1 - y_0}\left(\frac{x_0 - x_1}{2}\right) + \frac{y_0 + y_1}{2} \implies\\ Love it and would recommend it to everyone having trouble with math. The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). rev2023.3.3.43278. So you have the following data: Is there a proper earth ground point in this switch box? Acidity of alcohols and basicity of amines. So, we have a $71.57, 71.57, 36.86$ triangle. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. Connect and share knowledge within a single location that is structured and easy to search. ( A girl said this after she killed a demon and saved MC). Method 4 Using the Area and Central Angle of a Sector 1 Set up the formula for the area of a sector. WebWell, the equation of a circle takes the form: ( x h) 2 + ( y k) 2 = r 2 where h,k are the coordinates of the center of the circle, and r is the radius. So we have a circle through the origin and $(x,y)$ whose center lies in $(0,y_0)$. y0 = 0 WebFinally, to calculate the circle's radius, we use this formula: radius = Square Root [(x1 -xCtr)^2 + (y1 -yCtr)^2)] where (x1, y1) can be anyof the three points but let's use (9, 2) radius = Square Root [(9 -7)^2 + (2 --2)^2)] radius = Square Root [(2)^2 + (4)^2)] radius = Square Root (20) radius = 4.472135955 We've added a "Necessary cookies only" option to the cookie consent popup, Find all circles given two points and not the center, Find the center of a circle on the x-axis with only two points, no radius/angle given, Find the midpoint between two points on the circle, Center of Arc with Two Points, Radius, and Normal in 3D. In addition, we can use the center and one point on the circle to find the radius. m = - \frac{1}{\frac{y_1 - y_0}{x_1 - x_0}} = It is equal to twice the length of the radius. y_2 = - \frac{x_1 - x_0}{y_1 - y_0}\left(x_0 - \frac{x_0 + x_1}{2}\right) + \frac{y_0 + y_1}{2} \implies\\ In this case, r r is the distance between (2,7) ( 2, 7) and (3,8) ( - 3, 8). In the past, ancient geometers dedicated a significant amount of time in an effort to "square the circle." A circle's radius is always half the length of its diameter. Each new topic we learn has symbols and problems we have never seen. The perpendicular bisector of two points is the line perpendicular to the line connecting them through their midpoint. 1 Im trying to find radius of given circle below and its center coordinates. Great help, easy to use, has not steered me wrong yet! WebThe radius is any line segment from the center of the circle to any point on its circumference. Also, it can find equation of a circle given its center and radius. WebThis online calculator finds the intersection points of two circles given the center point and radius of each circle. In addition, we can use the center and one point on the circle to find the radius. The unknowing Read More P = \frac{P_0 + P_1}{2} = \left(\frac{x_0 + x_1}{2},\frac{y_0 + y_1}{2} \right) = (x_p,y_p) So, we know the angle $\alpha$ of the arc between the two points -- it's just $\alpha = s/r = 2\pi/x$. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. I added an additional sentence about the arc in the question. Can I obtain $z$ value of circumference center given two points? $$ y_0^2 = x^2+(y-y_0)^2 $$ So, we know the angle $\alpha$ of the arc between the two points -- it's just $\alpha = s/r = 2\pi/x$. WebLet d = ((x - x) + (y - y)) be the distance between the two given points (x, y) and (x, y), and r be the given radius of the circle. WebCircle Calculator Choose a Calculation radius r = Let pi = Units Significant Figures Answer: radius r = 12 in diameter d = 24 in circumference C = 75.3982237 in area A = 452.389342 in 2 In Terms of Pi circumference C = 24 in area A = 144 in 2 Solutions diameter d = 2 r d = 2 12 d = 24 circumference C = 2 r C = 2 12 C = 24 Would a third point suffice? I want to cut the best curve out of the plywood for the jump, and would like to have a formula to calculate/draw the curve for other size ramps. My goal is to find the angle at which the circle passes the 2nd point. The calculator will generate a step by step explanations and circle graph. Is there a proper earth ground point in this switch box. Center (or origin): the point within a circle that is equidistant from all other points on the circle. Fill in the known values of the selected equation. Learn more about Stack Overflow the company, and our products. Second point: If 2r d then graphing calculator red algebraic limits calculator helpwithmath market adjustment raise calculator questions to ask math students earnings growth ratio calculation WebCircle equation calculator This calculator can find the center and radius of a circle given its equation in standard or general form. $$ Chord: a line segment from one point of a circle to another point. I will use this for this example Explanation: We know: P1 P2 From that we know: x ( P 2. x P 1. x) y ( P 2. y P 1. y) d ( ( x + y )) Please provide any value below to calculate the remaining values of a circle. To use the calculator, enter the x and y coordinates of a center and radius of each circle. The best answers are voted up and rise to the top, Not the answer you're looking for? So you have the following data: x0 = 0 y0 = 0 x1 = 3 y1 = 1 y2 = ? If a law is new but its interpretation is vague, can the courts directly ask the drafters the intent and official interpretation of their law? WebI know that only having two points is not enough for determining the circle, but given that the center is on the same x coordinate as one of the points, is there a way to use those two points to find the center/radius of the circle? Each new topic we learn has symbols and problems we have never seen. The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. The center of a circle calculator is easy to use. Why is there a voltage on my HDMI and coaxial cables? (I'll use degrees as it is more common for household projects, but can easily be changed into radians as needed), As the angle pointed to by the yellow arrow is $\arctan(\frac{1}{3})\approx 18.43^\circ$, that means the red angles are $90^\circ - \arctan(\frac{1}{3})\approx 71.57^\circ$. WebDiameter: the largest distance between any two points on a circle; by this definition, the diameter of the circle will always pass through the center of the circle. For example, if the diameter is 4 cm, the radius equals 4 cm 2 = 2 cm. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? It also plots them on the graph. how-to-find-radius-of-a-circle-given-two-points 2/6 Downloaded from ads.independent.com on November 3, 2022 by guest using real-world examples that What is the radius of a circle given two points and the center of the circle is perpendicular to one of the points? In this case, r r is the distance between (2,7) ( 2, 7) and (3,8) ( - 3, 8). Substitute the center, Let d = ((x - x) + (y - y)) be the distance between the two given points (x, y) and (x, y), and r be the given radius of the circle. Plugging in your values for x and y, you have the two equations: ( 6 h) 2 + ( 3 k) 2 = 5 2 and ( 7 h) 2 + ( 2 k) 2 = 5 2 Basically, I am going to pin a piece of string in the ground y2 feet away from my board and attach a pencil to one end in order to mark the curve that I need to cut. The radius of a circle from diameter: if you know the diameter d, the radius is r = d / 2. The best answers are voted up and rise to the top, Not the answer you're looking for? Plugging in your values for x and y, you have the two equations: ( 6 h) 2 + ( 3 k) 2 = 5 2 and ( 7 h) 2 + ( 2 k) 2 = 5 2 What does this means in this context? It is also a transcendental number, meaning that it is not the root of any non-zero polynomial that has rational coefficients. $$ y_0 = \frac{x^2+y^2}{2y}.$$. Each new topic we learn has symbols and problems we have never seen. A bit of theory can be found below the calculator. Can airtags be tracked from an iMac desktop, with no iPhone? For a simulation, I need to be able to calculate the radius $r$ of a circle $C$, knowing only two points on its circumference, $P_1$ and $P_2$, as well as the distance between them ($a$) and how much of the whole circumference $c$ is in the arc between those two points ($\frac{c}{x}$, where $x$ is known and $\geq 1$). $$ A circle, geometrically, is a simple closed shape. Base circle is unit circle with radius 1 as well as coordinates for p1 and p2 are given beforehand Up to this point I know that $$ |p_1 - c| = r $$ $$ |p_2 - c| = r $$ $$ r^2 + 1 = c^2 $$ But somehow I got stuck to solve and figure out radius and center points of circle. WebTo find the center & radius of a circle, put the circle equation in standard form. Tap for more steps r = 26 r = 26 (xh)2 +(yk)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2 is the equation form for a circle with r r radius and (h,k) ( h, k) as the center point. (x2-x1)2+(y2-y1)2=d. y - y_p = m(x - x_p) I didn't even think about the distance formula. WebFind the radius of a circle given two points - My goal is to find the angle at which the circle passes the 2nd point. Is a PhD visitor considered as a visiting scholar? A circle's radius is always half the length of its diameter. $d(B, M)=\sqrt{(3-0)^2+(1-r)^2}=\sqrt{r^2-2r+10}=r$ (pythagorean theorem). all together, we have Thank you very much. What video game is Charlie playing in Poker Face S01E07? Finding the distance between two Points on the circumference of a circle. $$ Read on if you want to learn some formulas for the center of a circle! It would help to convert this to a question about triangles instead. You should say that the two points have the same x-coordinate, not that the points "are perpendicular". Does Counterspell prevent from any further spells being cast on a given turn? A circle's radius is always half the length of its diameter. I will use this for this example Explanation: We know: P1 P2 From that we know: x ( P 2. x P 1. x) y ( P 2. y P 1. y) d ( ( x + y )) It also plots them on the graph. Thanks for providing a formula that is usable on-the-fly! Intersection of two circles First Circle x y radius In math formulas, the radius is r and the diameter is d. You might see this step in your textbook as . Arc: part of the circumference of a circle WebCircle Calculator Choose a Calculation radius r = Let pi = Units Significant Figures Answer: radius r = 12 in diameter d = 24 in circumference C = 75.3982237 in area A = 452.389342 in 2 In Terms of Pi circumference C = 24 in area A = 144 in 2 Solutions diameter d = 2 r d = 2 12 d = 24 circumference C = 2 r C = 2 12 C = 24 Use the Distance Formula to find the equation of the circle. It only takes a minute to sign up. Circumference: the distance around the circle, or the length of a circuit along the circle. Also $R \cdot sin({\alpha \over 2}) = {a \over 2}$, it is also pretty obviously. 1 Im trying to find radius of given circle below and its center coordinates. What am I doing wrong here in the PlotLegends specification? WebThe procedure to use the equation of a circle calculator is as follows: Step 1: Enter the circle centre and radius in the respective input field Step 2: Now click the button Find Equation of Circle to get the equation Step 3: Finally, the equation of a circle of a given input will be displayed in the new window What is the Equation of a Circle? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Therefore, the coordinate of the middle point is 5 foot above the point $(x_0, y_0)$ and the radius is 5. $$ y1 = 1 Neither the arc itself nor its angle is known, but the arc should be equal to $\frac{2\pi r}{x}$. WebYour two given points ($ (x_1, y_1)$ and $ (x_2, y_2)$) and the centers of the two desired circles are at the four vertices of a rhombus with side length $r$. Assuming that your $R$ is the radius, one can calculate $R=\frac{1}{2}*a*csc(\frac{a}{2})$ to obtain it, correct? To use the calculator, enter the x and y coordinates of a center and radius of each circle. Read on if you want to learn some formulas for the center of a circle! Are there tables of wastage rates for different fruit and veg? The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). In my sketch, we see that the line of the circle is leaving P1 at a 90-degree angle. WebTo find the center & radius of a circle, put the circle equation in standard form. The center of a circle calculator is easy to use. $$ You can use the Pythagorean Theorem to find the length of the diagonal of Here are the possible cases (distance between centers is shown in red): So, if it is not an edge case, to find the two intersection points, the calculator uses the following formulas (mostly deduced with Pythagorean theorem), illustrated with the graph below: The first calculator finds the segment a Each new topic we learn has symbols and problems we have never seen. $$ WebYour two given points ($ (x_1, y_1)$ and $ (x_2, y_2)$) and the centers of the two desired circles are at the four vertices of a rhombus with side length $r$. Based on the diagram, we can solve the question as follows: Because $C = (x_0,y_2)$ is equidistant from $P_0 = (x_0,y_0)$ and $P_1 = (x_1,y_1)$, $C$ must lie on the perpendicular bisector of $P_0$ and $P_1$. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. I want to build some ramps for my rc car and am trying to figure out the optimal curve for the ramps. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Tangent: a line that intersects the circle at only a single point; the rest of the line, except the single point at which it intersects the circle, lies outside of the circle. I know that only having two points is not enough for determining the circle, but given that the center is on the same x coordinate as one of the points, is there a way to use those two points to find the center/radius of the circle? Arc: part of the circumference of a circle, Major arc: an arc that is greater than half the circumference, Minor arc: an arc that is less than half the circumference. WebThe radius is any line segment from the center of the circle to any point on its circumference. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. So, we have What is the point of Thrower's Bandolier? x0 = 0 We know that the arclength $s$ between the two points is given by $s = 2\pi r/x$, where $x$ is known. WebCircle Calculator Choose a Calculation radius r = Let pi = Units Significant Figures Answer: radius r = 12 in diameter d = 24 in circumference C = 75.3982237 in area A = 452.389342 in 2 In Terms of Pi circumference C = 24 in area A = 144 in 2 Solutions diameter d = 2 r d = 2 12 d = 24 circumference C = 2 r C = 2 12 C = 24 A bit of theory can be found below the calculator. WebDiameter: the largest distance between any two points on a circle; by this definition, the diameter of the circle will always pass through the center of the circle. Then, using the formula from the first answer, we have: $$r \sin\left (\frac {\alpha} {2}\right) = \frac {a} {2} $$ and so The task is relatively easy, but we should take into account the edge cases therefore we should start by calculating the cartesian distance d between two center points, and checking for edge cases by comparing d with radiuses r1 and r2. In my sketch, we see that the line of the circle is leaving P1 at a 90-degree angle. and then the segment h. To find point P3, the calculator uses the following formula (in vector form): And finally, to get a pair of points in case of two points intersecting, the calculator uses these equations: Circumference: the distance around the circle, or the length of a circuit along the circle. how-to-find-radius-of-a-circle-given-two-points 2/6 Downloaded from ads.independent.com on November 3, 2022 by guest using real-world examples that x1 = 3 WebThis online calculator finds the intersection points of two circles given the center point and radius of each circle. Base circle is unit circle with radius 1 as well as coordinates for p1 and p2 are given beforehand Up to this point I know that $$ |p_1 - c| = r $$ $$ |p_2 - c| = r $$ $$ r^2 + 1 = c^2 $$ But somehow I got stuck to solve and figure out radius and center points of circle. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. How to follow the signal when reading the schematic? You can find the center of the circle at the bottom. Where does this (supposedly) Gibson quote come from? Substitute (x1,y1)=(h,k),(x2. Circle showing radius and diameter. Super simple and it works. To use the calculator, enter the x and y coordinates of a center and radius of each circle. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Diameter: the largest distance between any two points on a circle; by this definition, the diameter of the circle will always pass through the center of the circle. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. In math formulas, the radius is r and the diameter is d. You might see this step in your textbook as . Tap for more steps r = 26 r = 26 (xh)2 +(yk)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2 is the equation form for a circle with r r radius and (h,k) ( h, k) as the center point. But somehow, the results I get with this are far off. The two points are the corners of a 3'x1' piece of plywood. y_2 - y_p = m(x_0 - x_p) Our equation of the circle calculator finds not only these values but also the diameter, circumference, and area of the circle all to save you time! Method 4 Using the Area and Central Angle of a Sector 1 Set up the formula for the area of a sector. Law of cosines: The following image should illustrate this: While being closely related to questions just as this one, it's not quite the same, as I don't know the angles. It also plots them on the graph. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. For example, if the diameter is 4 cm, the radius equals 4 cm 2 = 2 cm. In my sketch, we see that the line of the circle is leaving P1 at a 90-degree angle. We calculate the midpoint $P$ as Intersection of two circles First Circle x y radius Arc: part of the circumference of a circle Our equation of the circle calculator finds not only these values but also the diameter, circumference, and area of the circle all to save you time! While it is now known that this is impossible, it was not until 1880 that Ferdinand von Lindemann presented a proof that is transcendental, which put an end to all efforts to "square the circle." r^2 r2 is the radius of the circle raised to the power of two, so to find the radius, take the square root of this value. WebThe procedure to use the equation of a circle calculator is as follows: Step 1: Enter the circle centre and radius in the respective input field Step 2: Now click the button Find Equation of Circle to get the equation Step 3: Finally, the equation of a circle of a given input will be displayed in the new window What is the Equation of a Circle? The unknowing Read More Select the circle equation for which you have the values. Could I do them by hand? Calculating a circles radius from two known points on its circumference, WolframAlpha calculate the radius using the formula you provided, We've added a "Necessary cookies only" option to the cookie consent popup, Calculating circle radius from two points on circumference (for game movement), How to calculate radius of a circle from two points on the circles circumference, Calculating the coordinates of a point on a circles circumference from the radius, an origin and the arc between the points, Calculating circle radius from two points and arc length, Parametric equation of an arc with given radius and two points, How to calculate clock-wise and anti-clockwise arc lengths between two points on a circle, Arclength between two points on a circle not knowing theta, Calculate distance between two points on concentric circles. You can use the Pythagorean Theorem to find the length of the diagonal of The arc itself is not known, only the distance between the two points, but it is known that the arc equals $\frac{2\pi r}{x}$ with $x$ being known. This online calculator finds the intersection points of two circles given the center point and radius of each circle. $a^2 = 2R^{2}(1-2cos(\alpha))$, where $\alpha$ is the angle measure of an arc, and $a$ is the distance between points. WebLet d = ((x - x) + (y - y)) be the distance between the two given points (x, y) and (x, y), and r be the given radius of the circle. Tap for more steps r = 26 r = 26 (xh)2 +(yk)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2 is the equation form for a circle with r r radius and (h,k) ( h, k) as the center point. We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. I am trying to solve for y2. Arc: part of the circumference of a circle My goal is to find the angle at which the circle passes the 2nd point. How do I connect these two faces together? So you have the following data: x0 = 0 y0 = 0 x1 = 3 y1 = 1 y2 = ? You can find the center of the circle at the bottom. Yep. If 2r d then graphing calculator red algebraic limits calculator helpwithmath market adjustment raise calculator questions to ask math students earnings growth ratio calculation A bit of theory can be found below the calculator. By the pythagorean theorem, Calculate circle given two points and conditions, How to Calculate Radius of Circle Given Two Points and Tangential Circle, Circle problem with given center and radius, How to find the center point and radius of a circle given two sides and a single point, Square ABCD is given. Are there tables of wastage rates for different fruit and veg? We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. WebLet d = ((x - x) + (y - y)) be the distance between the two given points (x, y) and (x, y), and r be the given radius of the circle. This is close, but you left out a term. Everyone who receives the link will be able to view this calculation, Copyright PlanetCalc Version: Parametric equation of a circle It is equal to twice the length of the radius. Tell us the $P_1$, $P_2$, and $x$ that you used in your example test. For example, if the diameter is 4 cm, the radius equals 4 cm 2 = 2 cm. $$ - \frac{x_1 - x_0}{y_1 - y_0} WebThe radius is any line segment from the center of the circle to any point on its circumference. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. The slope of the line connecting two points is given by the rise-over-run formula, and the perpendicular slope is its negative reciprocal. In math formulas, the radius is r and the diameter is d. You might see this step in your textbook as . vegan) just to try it, does this inconvenience the caterers and staff? The figures below depict the various parts of a circle: The radius, diameter, and circumference of a circle are all related through the mathematical constant , or pi, which is the ratio of a circle's circumference to its diameter. Find center and radius Find circle equation Circle equation calculator The needed formula is in my answer. Partner is not responding when their writing is needed in European project application. The unknowing Read More Fill in the known values of the selected equation. this circle intersects the perpendicular bisector of BC in two points. Circumference: the distance around the circle, or the length of a circuit along the circle. In my sketch, we see that the line of the circle is leaving. Calculate the distance between (6,4) and (2,8) using the distance formula and divide by 2 to get the circle's radius. $$ Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. rev2023.3.3.43278. Euler: A baby on his lap, a cat on his back thats how he wrote his immortal works (origin?). My goal is to find the angle at which the circle passes the 2nd point. If 2r d then graphing calculator red algebraic limits calculator helpwithmath market adjustment raise calculator questions to ask math students earnings growth ratio calculation So, we know the angle $\alpha$ of the arc between the two points -- it's just $\alpha = s/r = 2\pi/x$. While the efforts of ancient geometers to accomplish something that is now known as impossible may now seem comical or futile, it is thanks to people like these that so many mathematical concepts are well defined today. how-to-find-radius-of-a-circle-given-two-points 2/6 Downloaded from ads.independent.com on November 3, 2022 by guest using real-world examples that Base circle is unit circle with radius 1 as well as coordinates for p1 and p2 are given beforehand Up to this point I know that $$ |p_1 - c| = r $$ $$ |p_2 - c| = r $$ $$ r^2 + 1 = c^2 $$ But somehow I got stuck to solve and figure out radius and center points of circle. Select the circle equation for which you have the values. $$ The unknowing Read More In my sketch, we see that the line of the circle is leaving. The unknowing Read More Learn more about Stack Overflow the company, and our products. Pictured again below with a few modifications. This is a nice, elegant solution and I would accept it if I could accept two answers. First point: The radius of a circle from the area: if you know the area A, the radius is r = (A / ). The radius of a circle from the area: if you know the area A, the radius is r = (A / ). To subscribe to this RSS feed, copy and paste this URL into your RSS reader. $$. In my sketch, we see that the line of the circle is leaving. The calculator will generate a step by step explanations and circle graph. @Big-Blue, then you know $arc \over circumference$. It also plots them on the graph. By the law of sines, $\frac{A}{\sin(a)}=\frac{B}{\sin(b)}$ you have $B = (\sqrt{3^2+1^2}\frac{\sin(71.57^\circ)}{\sin(36.86^\circ)}) \approx 5.0013$, Let $A(0, 0), B(3, 1), M(0, r)$ (we place the point $A(x_0, y_0)$ on the origin). Then, using the formula from the first answer, we have: $$r \sin\left(\frac{\alpha}{2}\right) = \frac{a}{2} $$, $$r = \frac{\tfrac{1}{2}a} {\sin\tfrac{1}{2}\alpha } = \tfrac{1}{2}a\,\mathrm{cosec}\tfrac{1}{2}\alpha $$, $$r = \frac{1}{2}a\,\mathrm{cosec}\left(\frac{\pi}{x}\right)$$. We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. r^2 r2 is the radius of the circle raised to the power of two, so to find the radius, take the square root of this value. Is there a formula for finding the center point or radius of a circle given that you know two points on the circle and one of the points is perpendicular to the center?

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find the radius of a circle given two points calculator

find the radius of a circle given two points calculator