Question

Circle R has equation

(x + 10)2 + (y - 10)2 = 48. What
are the center and radius of
circle R?
A. center (-10,10), radius = 413
B. center (-10,10), radius = 48
C. center (10,-10), radius = 413
D. center (10,-10), radius = 48

Answer 1

The center is (-10,10) and the radius is 4sqrt(3)

Explanation:

(x + 10)^2 + (y - 10)^2 = 48

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- -10)^2 + (y - 10)^2 = (sqrt(16*3) )^2

(x- -10)^2 + (y - 10)^2 = (4sqrt(3)) ^2

The center is (-10,10) and the radius is 4sqrt(3)