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

Sagot :

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Answer:

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

Step-by-step explanation:

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

[tex]\theta = \frac{360}{n}[/tex] (1)

If we know that [tex]n = 72[/tex], the rotational angle is:

[tex]\theta = \frac{360}{72}[/tex]

[tex]\theta = 5^{\circ}[/tex]

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

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