Question

Wilradius of 12 aná a central angle of 138.138912Solve for the area of the sector, to the nearest tenth.14.528.9173.4

Answer 1

The area of a sector is given by

`\text{Area = }(\emptyset)/(360)\text{ x }\pi r^2`
`\begin{gathered} \text{where }\emptyset\text{ = 138}^0 \\ r\text{ = 12} \\ \pi\text{ =3.14} \end{gathered}`

If we substitute these values into the formula for the area

`\text{Area = }(138)/(360)\text{ x 3.14 x 12}^2`

Area of the sector = 173.416

Area of sector = 173.4 (To the nearest tenth)