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24 July, 07:46

A regular 24-sided polygon is rotated with its center of rotation at its center.

What is the smallest degree of rotation needed to map the polygon back on to itself?

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  1. 24 July, 07:53
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    The smallest degree of rotation is called the angle of rotation. This can be calculated by dividing the angle of full rotation by the number of sides of a regular polygon. Since a full rotation is 360 degrees, we divide 360 by 24.

    Thus, the smallest rotation needed to map the polygon back to itself is 15 degrees.
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