Identify the center and radius of the circle. $$\left( x - \frac { 5 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 8$$
A) Center $= \left( \frac { 5 } { 7 } , 0 \right) ; r = 8$
B) Center $= \left( 0 , \frac { 5 } { 7 } \right) ; r = 8$
C) Center $= \left( - \frac { 5 } { 7 } , 0 \right) ; r = 2 \sqrt { 2 }$
D) Center $= \left( \frac { 5 } { 7 } , 0 \right) ; r = 2 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The equation of a circle in the form $(x - h)^2 + (y - k)^2 = r^2$ has a center at $(h, k)$ and a radius $r$. Here, $h = \frac{5}{7}$, $k = 0$, and $r^2 = 8$, so $r = \sqrt{8} = 2\sqrt{2}$.

Identify the Center and Radius of the Circle (x−57)2+y2=8\left( x - \frac { 5 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 8(x−75​)2+y2=8

Identify the Center and Radius of the Circle $\left( x - \frac { 5 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 8$