Find the measure of the central angle of a 25 sided regular polygon

To find the measure of the central angle of a regular polygon, we can use the formula:

Central Angle = &frac{360}{n}

where n is the number of sides of the polygon.

In this case, we have a regular polygon with 25 sides, so we can plug that value into the formula:

Central Angle = &frac{360}{25}

Calculating this gives:

Central Angle = 14.4 degrees

Therefore, the measure of the central angle of a 25 sided regular polygon is 14.4 degrees.