Write an equation of the circle with the given center and radius.
-the origin; $\sqrt { 13 }$
A) $x ^ { 2 } + y ^ { 2 } = 169$
B) $x ^ { 2 } + y ^ { 2 } = \sqrt { 13 }$
C) $x ^ { 2 } + y ^ { 2 } = 13$
D) $x ^ { 2 } + y ^ { 2 } = \frac { 13 } { 4 }$

Question

Quizplus · Accepted Answer

The general equation of a circle with center at the origin (0,0) and radius $r$ is $x^2 + y^2 = r^2$. Given the radius is $\sqrt{13}$, squaring it gives $13$, so the correct equation is $x^2 + y^2 = 13$.

Write an Equation of the Circle with the Given Center 13\sqrt { 13 }13​

Write an Equation of the Circle with the Given Center $\sqrt { 13 }$