Question

a radio dial has 36 equally spaced tick marks, one for each station. the dial can be turned one tick mark at a time. if the dial turns a total of 16 tick marks, how many degrees has it rotated?

Explanation:

Step1: Find degrees per tick mark

A full circle is \(360^\circ\). With 36 tick marks, each tick mark represents \(\frac{360^\circ}{36}=10^\circ\) per tick.

Step2: Calculate total rotation

The dial turns 16 tick marks. So total rotation is \(16\times10^\circ = 160^\circ\).

Answer:

\(160\)