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?

(x + 2/3) ^2 + (y + 3/4) ^2 = 5^2 (or 25).

Step-by-step explanation:

Start with the general equation of a circle with center at (h, k) and radius r:

(x - h) ^2 + (y - k) ^2 = r^2

Substitute - 2/3 for h and - 3/4 for k, and also 5 for r:

(x - [-2/3]) ^2 + (y - [-3/4]) ^2 = 5^2, or

(x + 2/3) ^2 + (y + 3/4) ^2 = 5^2 (or 25).