Write the equation of the circle with the given center and radius.
-center $( 3,0 )$, radius 7
A) $( x - 3 ) ^ { 2 } + y ^ { 2 } = 49$
B) $x ^ { 2 } + ( y + 3 ) ^ { 2 } = 7$
C) $x ^ { 2 } + ( y - 3 ) ^ { 2 } = 7$
D) $( x + 3 ) ^ { 2 } + y ^ { 2 } = 49$

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 $(3, 0)$ and radius $7$, the equation is $(x - 3)^2 + (y - 0)^2 = 7^2$, which simplifies to $(x - 3)^2 + y^2 = 49$.

Write the Equation of the Circle with the Given Center (3,0)( 3,0 )(3,0)

Write the Equation of the Circle with the Given Center $( 3,0 )$