Question

4. A circle is centered at (−8, −13) and has a radius of 13. What is the equation of the circle? * (x + 8)² + (y + 13)² = 169 (x + 13)² + (y + 8)² = 169 (x - 8)² + (y - 13)² = 64 (x - 8)² + (y - 13)² = 169

Answer 1

(x + 8)^2 + (y + 13)^2 = 13^2

Explanation:

Write out (x - h)^2 + (y - k)^2 = r^2. Recognizing that the center is at

(h, k), with h = -8 and k = -13, and that the radius is 13, we get:

(x + 8)^2 + (y + 13)^2 = 13^2