Question

a clock is constructed using a regular polygon with 60 sides. the polygon rotates each minute, making one full revolution each hour. how much has the polygon rotated after 7 minutes?
14°
21°
35°
42°

Explanation:

Step1: Find rotation per minute

A full - revolution is $360^{\circ}$ and it makes one full - revolution in 60 minutes. So the rotation per minute is $\frac{360^{\circ}}{60}=6^{\circ}$.

Step2: Calculate rotation after 7 minutes

Multiply the rotation per minute by the number of minutes. So the rotation after 7 minutes is $6^{\circ}\times7 = 42^{\circ}$.

Answer:

$42^{\circ}$