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= }(\theta)/(360^0)*\pi* 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=}(280^0)/(360^0)*3.14*32^2 \\ Areaofthesector=2500.84inches^2 \end{gathered}`