If an arc of $45^{\circ}$ on circle $A$ has the same length as an arc of $30^{\circ}$ on circle $B$, then what is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.
The ratio is 45/30 = 3/2.
Circle B is larger!!!
The ratio is 4pi / 9pi or 4/9