Question

Find the area of the sector of a circle with radius 11 inches formed by a central angle of 300°

Answer 1

The area of the sector is 316.78
`inches^2`

Explanation:

Given the radius of the circle is 11 inches

We know that the area of the circle is=π
`r^2`

Area of the circle= π
`11^2` = 121π
`inches^2`

Now this is the area of the total circle which covers all the 360°.

Now we should find the area of the sector which covers 300°.

360°---->121π
`inches^2`

300°----->x
`inches^2`

By cross multiplication we get
`x=(300)/(360)* 121`π

x=316.78
`inches^2`