If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?

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15-06-2016
Mathematics

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?

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HomertheGenius HomertheGenius · Answer 1 · 2016-06-27T16:38:17+02:00

HomertheGenius HomertheGenius

27-06-2016

Central angle of a regular polygon:
Ф = 360° : n.
If n=12: Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30° the image of the polygon will coincide with the preimage.

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