Question

What is the center of the circle given by the

equation (x + 17)2 + (y − 4)2 = 23?
A. (−4, 17)
B. (−17, 4)
C. (17, −4)
D. (4, −17)

Answer 1

B. (−17, 4)

Explanation:

We can write the equation of a circle in the form

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

(x + 17)^2 + (y − 4)^2 = 23

(x - -17)^2 + (y − 4)^2 = ( sqrt (23))^2

The center is (-17,4) and the radius is (sqrt(23)