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 per minute

A full revolution is \(360^{\circ}\). Since it makes one full revolution in 60 minutes, the angle rotated per minute is \(\frac{360^{\circ}}{60}=6^{\circ}\) per minute.

Step2: Calculate the angle after 7 minutes

Multiply the angle per minute by the number of minutes. So, for \(t = 7\) minutes, the angle \(\theta=6^{\circ}\times7\)

Answer:

\(42^{\circ}\) (the fourth option)