Question

Determine the area of the shaded sector in the circle below with themeasure of major arc MP = 280° and MA= 32 inches.MThe area of the shaded sector is [a3] inches squared.

Answer 1

From the given figure in the question, we were told to solve for the area of the shaded sector.

Write out the formula for the area of a sector

$\text{ Area of a sector= }\frac{\theta}{360^0}\times\pi\times r^2$

Write out the given data

$\begin{gathered} \text{ Angle of the major arc MP= }\theta=280^0 \\ \text{ length MA}=\text{ radius= 32 inches} \\ \pi=\text{ 3.14} \end{gathered}$

Substitute the given data to solve for the Area of the sector

$\begin{gathered} \text{Area of the sector=}\frac{280^0}{360^0}\times3.14\times32^2 \\ Areaofthesector=2500.84inches^2 \end{gathered}$