Question

What equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answer 1

(x + 3)² + (y + 5)² = 36

Explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, - 5 ) and r = 6 , then

(x - (- 3) )² + (y - (- 5) )² = 6² , that is

(x + 3)² + (y + 5)² = 36