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Q. 69

Precalculus Mathematics for Calculus
Found in: Page 479
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

A sector of a circle of radius 80 miles has an area of 1600 miles2. Find the central angle (in radians) of the sector.

The central angle for the given radius and the circular area is 12 radian.

See the step by step solution

Step by Step Solution

Step 1. Given information.

Area A=1600 miles2 and the radius r=80 miles.

Step 2. Write down the concept.

Use the formula of the circular area A=12r2θ.

Step 3. Determining the angle

Central angle θ=2Ar2


θ=12 radian.

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