The equation of a circle is given below. (x - 5) 2 + (y + 2) 2 = 81 4 (x-5) 2 + (y+2) 2 = 4/81 What is its center? Radius?

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

Step-by-step explanation:

The equation of a circle can be written in the form

(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