Parametric, Polar and Vector-Valued Functions · Superchallenge problem

The closed curve $x=2\cos t+\cos 2t$, $y=2\sin t-\sin 2t$, $0\le t\le 2\pi$, has three cusps. Find the ratio $\dfrac{L}{A}$ of its total length $L$ to the area $A$ it encloses.