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:

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

Computing the power and simplifying the fraction:

$\text{Area}=\frac{8}{45}\cdot\pi\cdot121$

Multiplying numbers:

$\text{Area}=\frac{968}{45}\cdot\pi=21.51\cdot\pi=67.57\text{units}^2$

The area of the sector is 67.57 squared units