What is the sum of the measures of the interior angles of a 13-sided polygon?

1 Answer
May 24, 2016

#11 pi# radians

Explanation:

The smallest polygon is the triangle. It has a total of #pi# radians as the sum of internal angles. Any other polygon can be decomposed as many triangles as #n-2# with #n# the number of sides. So the sum of interior angles for a polygon #n# sided is given by
#(n-2)pi# for #n > 3#. The #13#-sided polygon has an interior sum of angles equal to #11 pi# radians