Question

Find the area of each sector.17)300°10 ftA) 51 ft?B)1750 ft1151ft?425070ft?3C)D)3O AСD

Answer 1

The area of the sector can be detemined as,

$\begin{gathered} A_s=\pi r^2\times(\frac{\theta}{360}) \\ =\pi(10ft)^2\times\frac{300^{\circ}}{360^{\circ}} \\ =100\pi\times\frac{5}{6}ft^2 \\ =\frac{250\pi}{3}ft^2 \end{gathered}$

Thus,option (D) is the correct solution.