The degree of rotation for a regular 30-sided polygon, also known as a triacontagon, is 12 degrees.
To understand how we arrive at this, we can start by noting that a full rotation around a point is 360 degrees. Since the polygon has 30 identical sides and angles, we divide the total degrees of rotation by the number of sides.
Mathematically, it goes like this:
- 360 degrees (full rotation) ÷ 30 (number of sides) = 12 degrees
This means that you can rotate the polygon by 12 degrees, and it will look the same as it did before the rotation. Each rotation of 12 degrees gives you another vertex at the same relative position, demonstrating the polygon’s symmetry.