Write an equation of the circle that passes through (2, 8) with center (-3 4)

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center
r - a radius

The length of a radius is equal the distance between points (2; 8) and (-3; 4).

A distance between and


subtitute



r=√41; (-3; 4) ⇒ a = -3 and b = 4

subtitute

(x - (-3))² + (y - 4)² = (√41)²

(x + 3)² + (y - 4)² = 41