Question

Write the equation of a circle given the center (-4,-1) and a point on the circle (4,2)

Answer 1

(x + 4)^2 + (y + 1)^2 = 74.

EXTRA v

The equation of a circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

(x - (-4))^2 + (y - (-1))^2 = (distance between center and point)^2

(x + 4)^2 + (y + 1)^2 = (4 - (-4))^2 + (2 - (-1))^2

(x + 4)^2 + (y + 1)^2 = 74