What is the relationship between the central angle and the interior angle?

As the number of sides increases, how do the angles change?

Question

What is the relationship between the central angle and the interior angle?

As the number of sides increases, how do the angles change?

shiburinga · Answer

This sight may help you: http://www.mathopenref.com/polygonanglerelation.html

shiburinga · Answer

More sites: http://www.answers.com/Q/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 https://answers.yahoo.com/question/index?qid=20110222122122AAhW50u

welshfella · Answer

I've never thought about this. I think the central angle and interior angle are supplementary.

shiburinga · Answer

The first site is for help understanding. 

The 2nd and 3rd are fore the questions. :)

welshfella · Answer

The number of central angles are the same as the number of sides and their sum will be 360 degrees.  So they are equal to the sum of the exterior angles which also add up to 360 degrees  and are supplementary to the interior angles.

welshfella · Answer

AS the number of sides increase the value  of central angles will decrease just as the value of exterior angles  decrease,   becuse the sum of these is always 360 degrees.