What is the area of a sector with a central angle of 10π7 radians and a radius of 18.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.

Question

Mathematics

Hanson

1 November, 11:04

What is the area of a sector with a central angle of 10π7 radians and a radius of 18.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.

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Answers (2)

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Harmony · Answer 1

(10/7 PI) = 4.4879895051 * 57.2957795131 = 257.1428571429 degrees

sector area = radius^2 * PI * (central angle / 360)

sector area = 338.56 * 3.14159 * 0.7142857143

sector area = 759.73 square meters

Makaila Merritt · Answer 2

Area = Pi r^2 * C/360 =

where C is central angle in degress

10 pi / 7 = 257.14

Area = 3.14 * (18.4) ^2 * 257.14/360 = 759.3