Question

Find the area of the sector. Use 3.14 for the value of pi. Round answer to the nearest tenth

Answer 1

We are required to find the area of the sector given in the question.

The area of a sector can be calculated by the formula

`\begin{gathered} A=(\theta)/(360)\pi r^2 \\ \text{Where }\theta=angle\text{ subtended by the sector at the center} \\ r=\text{radius of the sector} \end{gathered}`
`\begin{gathered} \text{For this question, } \\ \theta=(1)/(4)(360)=270^0 \\ r=4m \end{gathered}`
`\begin{gathered} A=(270)/(360)\text{ x 3.14 x 4 x 4} \\ \\ A=37.68m^2 \\ A=37.7m^2\text{(nearest tenth)} \\ \\ \text{Thus, the area of the sector is 37.7m}^2\text{ (nearest tenth)} \end{gathered}`