Write the standard form of the equation of the circle with the given center and radius.
-$( 5,0 ) ; 10$
A) $( x - 5 ) ^ { 2 } + y ^ { 2 } = 100$
B) $( x + 5 ) ^ { 2 } + y ^ { 2 } = 100$
C) $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 10$
D) $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 10$

Question

Quizplus · Accepted Answer

The standard form of the equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius. Given the center $(5, 0)$ and radius $10$, the equation becomes $(x - 5)^2 + (y - 0)^2 = 10^2$, which simplifies to $(x - 5)^2 + y^2 = 100$.

Write the Standard Form of the Equation of the Circle (5,0);10( 5,0 ) ; 10(5,0);10

Write the Standard Form of the Equation of the Circle $( 5,0 ) ; 10$