Question

Find the area of the sector shown. Round your answer to the nearest tenth

Answer 1

The Solution:

Given:

We are required to find the area of the shaded part.

The formula for the area of the sector is:

`\begin{gathered} A=(\theta)/(360)*\pi r^2 \\ \\ Where \\ A=area=? \\ \theta=149^o \\ r=radius=12m \end{gathered}`

Substitute these values in the formula.

`A=(149)/(360)*\pi*12^2=187.2389\approx187.2ft^2`

Therefore, the correct answer is 187.2 square feet