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 degrees per minute

Since the polygon makes a full - 360° revolution in 60 minutes, the number of degrees it rotates per minute is $\frac{360}{60}=6^{\circ}$.

Step2: Calculate rotation after 7 minutes

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

Answer:

42°