What is the radius and center of the circle given by the equation (x-5) ^{2} + (y+2) ^{2} = 81/4

The center is (5, - 2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k) ^2 = r^2

where (h, k) is the center and r is the radius

(x-5) ^{2} + (y+2) ^{2} = 81/4

((x-5) ^{2} + (y - - 2) ^{2} = (9/2) ^2

The center is (5, - 2) and the radius is 9/2