Find the area of the loop of the curve r=asin(3θ)r = a \sin(3\theta)r=asin(3θ).
πa212\frac{\pi a^2}{12}12πa2
πa26\frac{\pi a^2}{6}6πa2
πa24\frac{\pi a^2}{4}4πa2
πa22\frac{\pi a^2}{2}2πa2