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kari74 [83]
3 years ago
14

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

Mathematics
2 answers:
olganol [36]3 years ago
5 0

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.

Shalnov [3]3 years ago
5 0

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}

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