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: Calculate the angle rotated per minute

A full revolution is \(360^{\circ}\) and it takes \(60\) minutes. So the angle rotated per minute is \(\frac{360^{\circ}}{60}=6^{\circ}\) per minute.

Step2: Calculate the angle rotated in 7 minutes

Multiply the angle per minute by the number of minutes. So \(6^{\circ}\times7 = 42^{\circ}\)

Answer:

\(42^{\circ}\)