A sprinkler throws water 7.5 m and turns back and forth through 110°…

With $\theta$ in radians, an arc is $s = r\theta$ and a sector has the area $A = \frac{1}{2}r^2\theta = \frac{1}{2}rs$. A rolling wheel moves $2\pi r$ in each turn. For $n$ revolutions each minute, $\omega = \frac{2\pi n}{60}$ rad/s, and a point on the rim moves at $v = r\omega$.