Volume & Surface Area, Area of Sectors GH = 11

Question

asked May 11, 2023 229k views

1 Answer

Vadivelan · Answer 1 · 2023-05-18T04:35:51+0000

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