Find the center radius form for the circle having the endpoints (7,8) and (-3,2) of a diameter

Question

 if the coordinates of the endpoints Of a diameter of a circle or noun the equation of a circle can be found. First find the midpoint of the diameter which is the center of the circle. Then find the radius which is the distance from the center to either in point of the diameter. Finally use the center radius form to find the equation.

Answer 1

Find the coordinates of the center by finding the midpoint of the diameter, given its two endpoints.

Find the radius by using half of the length of the diameter, given its two endpoints.

 

You will then know C(h,k) and r, and can write (x-h)² + (y-k)²= r² with those specific numbers of h, k & r.