Write an equation of the circle with the given center and radius.
-$( 4,8 ) ; \sqrt { 17 }$
A) $( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 289$
B) $( x + 4 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 17$
C) $( x - 4 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 17$
D) $( x - 8 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 289$

Question

Quizplus · Accepted Answer

The general equation for a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. Given the center $(4, 8)$ and radius $\sqrt{17}$, the equation becomes $(x - 4)^2 + (y - 8)^2 = (\sqrt{17})^2$, which simplifies to $(x - 4)^2 + (y - 8)^2 = 17$.

Write an Equation of the Circle with the Given Center (4,8);17( 4,8 ) ; \sqrt { 17 }(4,8);17​

Write an Equation of the Circle with the Given Center $( 4,8 ) ; \sqrt { 17 }$