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

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!