Question

A regular dodecagon has 12 sides. What is the smallest angle of rotation about its center that carries a dodecagon onto itself?

Answer 1

Answer: 30°

Explanation:

Answer 2

30°

Explanation:

No. of sides in dodecagon = 12

No. of angles = 12

Since its regular, all sides and all angles are equal.

total rotational angle = 360°

since no. of angles = 12

and all angles are equal,

rotational angle at which, it will co - incide with itself =
`(360)/(12)`

= 30°

A regular dodecagon will be onto itself it is rotated about the central angle 30°.