Question

Find the area of the sector. Round to the nearest tenth.459 m254.616.9O 31.8O 7.1

Answer 1

`\begin{gathered} \text{ The area of a sector can be calculated by the formula} \\ \text{ A=}(\theta)/(360)\text{ x }\pi r^2 \\ \text{ Where }\theta\text{ = angle subtended by the sector at the center} \\ \text{ r= radius of the sector} \end{gathered}`
`\begin{gathered} \text{ For this question, } \\ \theta=45^0,\text{ r= 9m} \\ \text{ A = }(45)/(360)\text{ x 3.14 x 9 x 9} \\ \text{ A= 31.7925m}^2 \\ A=31.8m^2\text{ (nearest tenth)} \end{gathered}`

The area of the sector is 31.8m^2 ( nearest tenth)