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It can have any value at all. A definite value can be determined if the polygon is regular, but there is no justification for assuming that to be the case.

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Q: Calculate the measure of a central angle of a 10 sided polygon?
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Calculate the measure of a central angle of a twelve sided polygon?

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How do you calculate the measure of a central angle of a regular nine sided polygon?

To calculate the measure of a central angle of a regular nine-sided polygon, divide 360 degrees by the number of sides. In this case, divide 360 by 9. The measure of the central angle of a regular nine-sided polygon is 40 degrees.


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Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees


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Each central angle is (360) divided by (number of sides in the polygon).


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What is the measure of one central angle of a regular polygon?

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What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?

The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.


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