Question

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

Answer 1

Answer:

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.