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.