A regular 40-sided polygon is rotated with its center of rotation at its center.

What is the smallest degree of rotation needed to map the polygon back on to itself?

Question

A regular 40-sided polygon is rotated with its center of rotation at its center. 

What is the smallest degree of rotation needed to map the polygon back on to itself?

3mar · Answer

Do you have the idea to solve that?

itsbribro · Answer

no..

3mar · Answer

https://www.mathsisfun.com/geometry/polygons.html Pick yours!

itsbribro · Answer

so it would have to turn 170 to map on itself?

mrnood · Answer

|dw:1480441207437:dw|

for a regular polygon you rotate one apex (corner) onto the next for th efirst 'mapping'

I show
 360/3 for 3 sided polygon
360/4 for 4 sided polygon

the rule continues for all regular polygons

so for 40 sides?????