Question

A circle in the xy-plane has its center at (-2/3,-3/4)

and radius 5. Which of the following is an
equation of the circle?

Answer 1

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Explanation:

Apply the general formula for a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Since the center is (-2/3, -3/4), and r = 5, we get:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2