Find the equation of the circle (in standard form) with center at $(7,-8)$ and with radius 10.
A) $(x-7)^{2}+(y+8)^{2}=100$
B) $\sqrt{(x-7)^{2}+(y+8)^{2}}=100$
C) $(x+7)^{2}-(y-8)^{2}=100$
D) $(x+7)^{2}+(y-8)^{2}=100$

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. In this case, the center is $(7,-8)$ and the radius is 10, so the equation of the circle is $(x-7)^{2}+(y+8)^{2}=100$.

Find the Equation of the Circle (In Standard Form) with Center