Could someone please help me solve this?

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1 Answer
Apr 23, 2018

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.