Question

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

(x-3)2 + (y-5)² = 6
(x-3)²+(y-5)² = 36
(x+3)² + (y + 5)² = 6
(x + 3)² + (y + 5)² = 36​

Answer 1

4th option

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 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