Question

Write the equation of a circle with a center at (–7, –7) and a radius of 7

Answer 1

The equation of a circle with center at (h,k) and radius 7 is

(x-h)^2 + (y-k)^2 = r^2.  Let's substitute the given values:

(x-[-7])^2 + (y-[-7])^2 = 7^2.

Simplifying, (x+7)^2 + (y+7)^2 = 49.  This is the equation of the given circle.