Question

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

Answer 1

Answer:

(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).