Problem
The area of a sector of a circle is given by the equation $A=\frac{\pi r^{2} S}{360}$, where $r$ is the radius of the circle and $S$ is the angle measure of the sector. If Mia solved this equation for $S$, which of the following equations did she write? $360 A+\pi r^{2}$ $360 A-\pi r^{2}$ $\frac{360+A}{\pi \pi^{2}}$ $\frac{360 A}{\pi r^{2}}$
Solution
Step 1 ：Given equation: $A=\frac{\pi r^{2} S}{360}$
Step 2 ：Solve for S: $S = \boxed{\frac{360 A}{\pi r^{2}}}$
