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18 June, 17:45

If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

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  1. 18 June, 20:45
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    Formula for number of sides, n = 360 / e

    Where e is the exterior angle for the number of sides.

    e = 21.2°

    Number of sides for the regular polygon, n = 360° / 21.2°

    n ≈ 16.98

    The number of sides is approximately 16.98 sides ... Does that make sense?

    It does not. In fact, the exterior angle of a regular polygon has to be wholly divisible into 360°.

    In the case 21.2° can't clearly be the exterior angle, the question is wrongly set.

    The exterior can be say 20°.
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