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27 September, 05:05

How do you find the angle of rotation of a regular polygon

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  1. 27 September, 05:26
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    N = number of sides

    R = angle of rotation

    It turns out that

    R = 360/n

    since there are 360 degrees in a full rotation, which is then split up equally into n

    different pieces

    For example, a regular quadrilateral (aka "square") has n = 4 so

    R = 360/n = 360/4 = 90

    meaning we an rotate a square 90 degrees to have it line up with itself. Every 90 degree rotation, this will happen.

    Note: This trick only works with regular polygons
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