Question

Find the equation of a circle with diametrical endpoints (7, –3) and (1, –1).

Answer 1

Explanation:

average of x-coordinates = (7+1)/2 = 4

average of y-coordinates = (-3-1)/2 = -2

center of circle: (4,-2)

radius = distance between (1,-1) and (4,-2)

= √((4-1)²+(-2-(-1))²)

= √10

equation of circle:

(x-4)² + (y+2)² = 10