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Geometry

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Moderate

Find the Equation of a Circle Given Center and Tangency

GEOM-PN5J67

A circle is tangent to the $x$-axis.

If the center is $(-3,1)$ what is the equation of the circle?

A

$\left( x+3 \right) ^{ 2 }+\left( y-1 \right) ^{ 2 }=2$

B

$\left( x+3 \right) ^{ 2 }+\left( y-1 \right) ^{ 2 }=1$

C

$\left( x+3 \right) ^{ 2 }+\left( y \right) ^{ 2 }=2$

D

$\left( x+3 \right) ^{ 2 }+\left( y \right) ^{ 2 }=1$