The equation of the circle with center at (-2, -2) and radius 6 is (x+2)² + (y+2)² = 36
Step-by-step explanation:
Equation of circle with center at (h,k) and radius r is given by (x-h)² + (y-k)² = r²
Here (h,k) = (-2,-2) and radius, r = 6
Substituting,
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-2))² = 6²
(x+2)² + (y+2)² = 36
So the equation of the circle with center at (-2, -2) and radius 6 is (x+2)² + (y+2)² = 36
