# A ship's wheel is rotated 128°. Its radius is 22 cm. How far would a point on the wheel's edge move in this rotation?

Jul 17, 2016

Distance =$49.15 c m$

#### Explanation:

It is important to realise that a rotation of 128° is simply a fraction of a full rotation of 360°. The distance the point will move is the same fraction of the whole circumference.

Distance = a fraction of the circumference
Distance = $\frac{128}{360} \times 2 \pi r$

=$\frac{128}{360} \times 2 \times \pi \times 22 c m$

The accuracy of the final answer will depend on which value of $\pi$ is used.

Distance =$49.15 c m$