Question

How do you find the center of the circle and its radius of `(x-3)^2 + (y-1)^2 = 25`?

Answer 1

The center is `(3,1)` and radius is `5`

Explanation:

If the equation is in the form

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

The center is `(h,k)` and radius is `r`.

Hence, in `(x-3)^2+(y-1)^2=25=5^2`,

the center is `(3,1)` and radius is `5`.