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Circumference of a circle Use calculus to find the
Chapter 7, Problem 42E(choose chapter or problem)
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