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22 November, 00:06

What angles of rotational symmetry are there for a regular hexagon?

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  1. 22 November, 00:08
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    60°, 120°, 180°, 240° and 300°

    Step-by-step explanation:

    In case of a regular hexagon, there is a set of six movements to complete its one rotation. Now in one rotation, it will complete 360° of its circular motion. Now the formula to calculate the angle of rotation for any shape with equal length of its sides is:

    Angle of rotation (Ф) = 360/Total number of sides

    In this case, Ф = 360/6

    Ф = 60

    This formula is valid for every shape with equal sides, like in case of pentagon you will have 360/5 to calculate the angle of rotation.

    Now in case of hexagon, at rotation of 60°, its rotation is symmetrical, which means rotation will not change its physical appearance, this is the case for next 60° rotation as well, or you can say that for 120° (60° before and 60° afterwards). This suit will follow for all the angles given in the answer section.
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