Circumference of a circle Use calculus to find the

Chapter 7, Problem 42E

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QUESTION:

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

Questions & Answers

QUESTION:

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

ANSWER:

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

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