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Circumference of a circle Use calculus to find the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 42E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 42E

Circumference of a circle Use calculus to find the circumference of a circle with radius a.

Step-by-Step Solution:

Problem 42E

Circumference of a circle Use calculus to find the circumference of a circle with radius a.

Solution

Step 1

In this problem we have to find the circumference of a circle with radius .

The Cartesian equation of a circle of radius a with its center at (0,0) is given by,

 where

In the first quadrant,

Differentiating with respect to x on both sides, we get

     

Squaring on both sides we get

Step 2 of 2

Chapter 7.7, Problem 42E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 42E from 7.7 chapter was answered, more than 305 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: circle, Circumference, Find, Calculus, radius. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 42E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Circumference of a circle Use calculus to find the circumference of a circle with radius a.” is broken down into a number of easy to follow steps, and 16 words.

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