Question

If a regular polygon has 72 sides and an order of 72,what is the polygon’s rotational angle?

Answer 1

The rotational angle of a regular polygon with 72 sides is 5º.

Explanation:

The rotational angle (
`\theta`), measured in sexagesimal degrees, of polygon of
`n` sides is the angle of a complete revolution divided by the number of sides (
`n`). That is:

`\theta = (360)/(n)` (1)

If we know that
`n = 72`, the rotational angle is:

`\theta = (360)/(72)`

`\theta = 5^(\circ)`

The rotational angle of a regular polygon with 72 sides is 5º.