Question

What is the area of the sector having a radius of 8 and a central angle of 5π3

radians?
A. 320π/3 units²
B. 50π units²
C. 160π/3 units²
D. 140π/3units²

Answer 1

Answer:
`(160\pi )/(3) units^2`

Explanation:

Given

Angle subtended by sector is
`(5\pi )/(3)`

radius =8 units

`Area of sector=(\theta )/(2\pi )\pi r^2`

`A=(20* 8\pi )/(3)`

`A=(160\pi )/(3)`

Answer 2

Area of a full circle is PI x r^2

Area = 3.14 x 8^2 = 200.96

Area of a sector is area * central angle / full circle

Area = 200.96 x 5PI/3 / 2PI = 160PI/3

Answer is C.