Identify the center and radius of the circle.
-Identify the center and radius of the circle.
$$\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12$$
A) Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$
B) Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 12$
C) Center $= \left( - \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$
D) Center $= \left( 0 , \frac { 4 } { 7 } \right) ; r = 12$

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, $h = \frac{4}{7}$, $k = 0$, and $r^2 = 12$, so $r = \sqrt{12} = 2\sqrt{3}$.

Identify the Center and Radius of the Circle (x−47)2+y2=12\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12(x−74​)2+y2=12

Identify the Center and Radius of the Circle $\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12$