Write the equation of the circle with the given center and radius.
-Center (0, 0),radiuss $2 \sqrt { 2 }$
A) $x ^ { 2 } + y ^ { 2 } = 8$
B) $x ^ { 2 } + y ^ { 2 } = 64$
C) $x ^ { 2 } + y ^ { 2 } = 2 \sqrt { 2 }$
D) $x ^ { 2 } + y ^ { 2 } = 4$

Question

Quizplus · Accepted Answer

The equation of a circle with center at the origin (0,0) and radius $r$ is $x^2 + y^2 = r^2$. Given the radius $2\sqrt{2}$, squaring it gives $r^2 = (2\sqrt{2})^2 = 8$, so the equation is $x^2 + y^2 = 8$.

Write the Equation of the Circle with the Given Center 222 \sqrt { 2 }22​

Write the Equation of the Circle with the Given Center $2 \sqrt { 2 }$