Find the area of the sector of a circle of radius 16 units subtended by an angle of 300°. Round your answer to the nearest tenth, and do not include the units in your answer.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Find the area of the sector of a circle of radius 16 units subtended by an angle of 300°. Round your answer to the nearest
tenth, and do not include the units in your answer.
Transcribed Image Text:Find the area of the sector of a circle of radius 16 units subtended by an angle of 300°. Round your answer to the nearest tenth, and do not include the units in your answer.
Expert Solution
Step 1

Given

radius of circle (r)= 16 unit

angle made by arc to center of circle =3000

=300*π180=5π3 radian

We know that area of sector =12r2=12*162*5π3=12*16*16*5π3=640*π3=640*227*3=670.476 sq.unit

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