Write the equation of the circle with the given center and radius.
-center $( 3,2 )$, radius 12
A) $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$
B) $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 144$
C) $( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 144$
D) $( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12$

Question

Quizplus · Accepted Answer

The equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For a center at $(3, 2)$ and radius $12$, the equation is $(x - 3)^2 + (y - 2)^2 = 12^2$, which simplifies to $(x - 3)^2 + (y - 2)^2 = 144$.

Write the Equation of the Circle with the Given Center (3,2)( 3,2 )(3,2)

Write the Equation of the Circle with the Given Center $( 3,2 )$