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 + (x + 5) 2 = 6

(x + 3) 2 + (y + 5) 2 = 36

Answer is D

None of the options represents the circle. It's equation should be (x + 3) ² + (y - 5) ² = 36

Step-by-step explanation:

The equation that represents a circle is given by the formula below:

(x - xc) ² + (y - yc) ² = r²

Where xc is the coordinate x of the center of the circle, yc is the coordinate y of the center of the circle and r is the radius of the circle. Since the circle we want to represent has a center in (-3,5) and a radius of 6 it's equation should be:

(x - (-3)) ² + (y - 5) ² = 6²

(x + 3) ² + (y - 5) ² = 36

So none of the options represents the circle.