Question

382

Which equation represents a circle with a center at (-3, -5) and a radius of 6 units?
(x-3)2 + (y – 5)2 = 6
(x - 3)2 + (x - 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36

Answer 1

(x+3)^2 + (y+5)^2 = 36

Explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x--3)^2 + (y--5)^2 = 6^2

(x+3)^2 + (y+5)^2 = 36