Question

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

Answer 1

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.

Answer 2

Answer:$\frac{160\pi }{3} units^2$

Step-by-step explanation:

Given

Angle subtended by sector is$\frac{5\pi }{3}$

radius =8 units

$Area of sector=\frac{\theta }{2\pi }\pi r^2$

$A=\frac{20\times 8\pi }{3}$

$A=\frac{160\pi }{3}$