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Q. 67

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

The area of a sector of a circle with a central angle of 140 is 70 m2. Find the radius of the circle.

The radius of the circle is 5.35 meters.

See the step by step solution

Step by Step Solution

Step 1. Given information.

Central angle θ=140° and Area=70 m2.

Step 2. Write the concept.

First, convert the central angle into radian by multiplying π180 and then use the formula of the area of the circular sector to calculate the radius of the circle.

Step 3. Determining the area.

The central angle in rad is theta =π180×140=7π9

To calculate the radius of the sector


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