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?

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Answer:

42

Step-by-step explanation:

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A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.

A polygon is known to be a plane figure with at least three equal sides and angles.

From the given information,

  • the sides of the polygon = 60 sides
  • time to complete a single rotation for 60 sides = 1 hour

  • In one full revolution, there are = 360°

To estimate the revolution completed in 1 minute, we have:

[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]

= 6° per minute

Now, to determine how much the polygon has rotated after 7 minutes, we have:

= (6° / minute) × 7 minutes

= 42°

Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,

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