Question

Could someone please help me solve this?

Answer 1

B.

Explanation:

Circles in this form are defined by the equation
`(x-h)^2+(y-k)^2=r^2`, where `(h,k)` is the coordinate of the center of the circle and `r` is the radius of the circle.

Using this information, we can write the equation for a circle with the givens: "center of (2, -1) and radius of 5." - `(h,k)` is `(2,-1)` and `r=5`

Inputting this into the equation gives you:
`(x-h)^2+(y-k)^2=r^2`
`(x-2)^2+(y+1)^2=5^2`, which matches answer B.