Question

Which choice gives the center and radius of the circle represented by the equation?

(x-7)^2 + (y+3)^2 = 25

A. (7, 3); 25
B. (–7, –3); 5
C. (7, –3); 5
D. (–7, 3); 5

Answer 1

`(x-h)^2+(y-k)^2=r^2` is the equation of a circle centered at
`(h,k)` with radius
`r`.

Here
`h=7`,
`k=-3`, and
`r^2=25\implies r=5`. So the answer is (C)