Question

Volume & Surface Area, Area of Sectors GH = 11

Answer 1

EXPLANATION

The area of the sector is given by the following relationship:

`Area_{part\text{ of a circle}}=\frac{\text{degrees of the sector}}{360}_{}\cdot\pi\cdot r^2`

Considering that the radius is r=11 and Replacing terms:

`\text{Area}_{}=(64)/(360)\cdot\pi\cdot(11)^2`

Computing the power and simplifying the fraction:

`\text{Area}=(8)/(45)\cdot\pi\cdot121`

Multiplying numbers:

`\text{Area}=(968)/(45)\cdot\pi=21.51\cdot\pi=67.57\text{units}^2`

The area of the sector is 67.57 squared units