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 of rotation per minute

A full revolution is \(360^{\circ}\). Since the polygon makes one full revolution in 60 minutes, the angle of rotation per minute is \(\frac{360^{\circ}}{60}\).

$$ \frac{360^{\circ}}{60}=6^{\circ} $$

Step2: Calculate the angle of rotation after 7 minutes

Multiply the angle per minute by the number of minutes (7).

$$ 6^{\circ}\times7 = 42^{\circ} $$

Answer:

\(42^{\circ}\) (Option D)