Write the equation of the circle with the given center and radius.
-Center (-10, 8), radiuss $\sqrt { 5 }$
A) $( x - 8 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 25$
B) $( x + 10 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 5$
C) $( x + 8 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 25$
D) $( x - 10 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 5$

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 center $(-10, 8)$ and radius $\sqrt{5}$, the equation is $(x + 10)^2 + (y - 8)^2 = (\sqrt{5})^2$, which simplifies to $(x + 10)^2 + (y - 8)^2 = 5$.

Write the Equation of the Circle with the Given Center 5\sqrt { 5 }5​

Write the Equation of the Circle with the Given Center $\sqrt { 5 }$