Question

The area a of a sector of a circle is given by A equals pi times R squared times S divided by 360 where r is the radius of the circle and s is the angle measure in degrees of the sector Solve the equation for S to find the angle measure given the radius and area of the circle

Answer 1

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{s \pi r^2}{360}\quad \begin{cases} r=radius\\ s=angle~in\\ \qquad degrees \end{cases}\implies 360A=s\pi r^2\implies \cfrac{360A}{\pi r^2}=s`