the area of a sector of a circle is given by the equation $a = \\frac{\\pi r^{2}s}{360}$, where $r$ is the…

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?\n$360a+pi r^{2}$\n$360a - pi r^{2}$\n$\\frac{360 + a}{pi r^{2}}$\n$\\frac{360a}{pi r^{2}}$

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?\n$360a+pi r^{2}$\n$360a - pi r^{2}$\n$\\frac{360 + a}{pi r^{2}}$\n$\\frac{360a}{pi r^{2}}$

Answer

Explanation:

Step1: Multiply both sides by 360

$360A=\pi r^{2}S$

Step2: Solve for S

$S = \frac{360A}{\pi r^{2}}$

Answer:

$\frac{360A}{\pi r^{2}}$ (corresponding to the last option in the multiple - choice list)