Question:
Let \( r \) and \( \theta \) be the polar coordinates defined by \( x = r \cos \theta \) and \( y = r \sin \theta \). The area of the cardioid \( r = a (1 - \cos \theta) \), \( 0 \leq \theta \leq 2\pi \), is:
Let \( r \) and \( \theta \) be the polar coordinates defined by \( x = r \cos \theta \) and \( y = r \sin \theta \). The area of the cardioid \( r = a (1 - \cos \theta) \), \( 0 \leq \theta \leq 2\pi \), is:
Updated On: Jul 17, 2024
- \( \frac{3\pi a^2}{2} \)
- \( \frac{2\pi a^2}{2} \)
- \( 3\pi a^2 \)
- \( 2\pi a^2 \)
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The Correct Option is A
Solution and Explanation
The correct Answers are (A) :\( \frac{3\pi a^2}{2} \)
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