Write the equation of the circle with the given center and radius.
-center $( - 10,1 )$, radius $\sqrt { 13 }$
A) $( x + 1 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 169$
B) $( x - 10 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 13$
C) $( x + 10 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 13$
D) $( x - 1 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 169$

Question

Quizplus · Accepted Answer

The general equation for a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For a center at $(-10, 1)$ and radius $\sqrt{13}$, the equation becomes $(x + 10)^2 + (y - 1)^2 = 13$, matching option C.

Write the Equation of the Circle with the Given Center (−10,1)( - 10,1 )(−10,1)

Write the Equation of the Circle with the Given Center $( - 10,1 )$