Question

Write the equation of the given circle. center (-2, -2) radius of 6

Answer 1

The equation of this circle is (x + 2)² + (y + 2)² = 6²

Answer 2

The equation of the circle with center at (-2, -2) and radius 6 is (x+2)² + (y+2)² = 36

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