a clock is constructed using a regular polygon with 60 sides. the polygon rotates each minute, making one…
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°
Answer
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)