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3. A clock is constructed using a regular polygon with 60 sides. The
polygon rotates every minute. How much has the polygon rotated
after 12 minutes? Explain your answer with words, a drawing or both-

Respuesta :

We are required to find how much the polygon has rotated after 12 minutes

The number of times the polygon has rotated after 12 minutes is 72°

Number of sides of the polygon = 60

The polygon rotates every minute, that is

1 rotation = 1 minutes

12 rotation = 12 minutes

one rotation of the clock is 360°

Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes

= 360°/60 × 12

= 6 × 12

= 72°

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