Question

The equation shown represents a circle in the xy-plane.

(x + 43° + (y - 3)2 = 36
Which statement includes the correct center and the correct radius for this
circle?
A The center is located at (4, -3), and the radius is 6.
B The center is located at (4, -3), and the radius is 36.
C The center is located at (-4, 3), and the radius is 6.
D The center is located at (-4, 3), and the radius is 36.

Answer 1

C The center is located at (-4, 3), and the radius is 6.

Explanation:

The formula for a circle is

(x - h)² + (y - h)² = r²

(h, k) is the center

r is the radius

--------------------------

(x + 4)² + (y - 3)2 = 36

(h, k) = (-4, 3)

r = √36 = 6

Therefor

C The center is located at (-4, 3), and the radius is 6.