Question

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

Answer 1

Answer:

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

Step-by-step 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:

$\theta = \frac{360}{n}$ (1)

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

$\theta = \frac{360}{72}$

$\theta = 5^{\circ}$

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