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:

• A. \( \frac{3\pi a^2}{2} \)
• B. \( \frac{2\pi a^2}{2} \)
• C. \( 3\pi a^2 \)
• D. \( 2\pi a^2 \)

Answer 1

The Correct Option is A

The correct Answers are (A) :\( \frac{3\pi a^2}{2} \)