Solved: Areas of circles Use integration to show that the

Chapter 13, Problem 58

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QUESTION:

Use integration to show that the circles \(r=2 a \cos \theta\) and \(r=2 a \sin \theta\) have the same area, which is \(\pi a^{2}\).

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QUESTION:

Use integration to show that the circles \(r=2 a \cos \theta\) and \(r=2 a \sin \theta\) have the same area, which is \(\pi a^{2}\).

ANSWER:

Step 1 of 3

First, let \(r=2 a \cos \theta\). Then we have

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