Question

For a regular 30-sided polygon, what is the degree of rotation?

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Answer 1

To find the degree of rotation for a regular 30-sided polygon (known as a triacontagon), you can calculate the angle of rotation for one vertex to move to the next vertex.

The formula for the rotation angle \( \theta \) for a regular \( n \)-sided polygon is given by:

\[
\theta = \frac{360}{n}
\]

Here, \( n \) is the number of sides (or vertices) of the polygon. For a 30-sided polygon:

\[
\theta = \frac{360}{30} = 12
\]

Thus, the degree of rotation for a regular 30-sided polygon is:

\[
\boxed{12}
\]