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Math·Geometry and Trigonometry·Circles

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A circle in the $xy$-plane has its center at $(-4,1)$ and the point $(-8,4)$ lies on the circle. Which equation represents this circle?

A

$(x-4{)}^2+(y+1{)}^2=5$

B

$(x+4{)}^2+(y-1{)}^2=25$

C

$(x-4{)}^2+(y+1{)}^2=25$

D

$(x+4{)}^2+(y-1{)}^2=5$