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Which one of the following represents a circle with a center at $(5, -2)$ and a radius of $16$?

A

$(x-5)^{2}+(y+2)^{2}=4$

B

$(x-5)^{2}+(y+2)^{2}=256$

C

$(x-5)^{2}+(y+2)^{2}=16$

D

$(x+5)^{2}+(y-2)^{2}=16$

E

$(x+5)^{2}+(y-2)^{2}=256$

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