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:

Calculate the rotation angle per minute

$$ \theta_{\text{minute}} = \frac{360^\circ}{60} = 6^\circ $$

Calculate the total rotation after 7 minutes

$$ \theta_{\text{total}} = 7 \times 6^\circ = 42^\circ $$

Answer:

• (A) \(14^\circ\)
• (B) \(21^\circ\)
• (C) \(35^\circ\)
• (D) \(42^\circ\) (Correct answer)