Difference between revisions of "Interior angle"

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The '''interior angle''' is the [[angle]] between two line segments, having two endpoints connected via a path, facing the path connecting them.
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The regular polygons are formed by have all interior angles [[equiangular]]
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This is the complementary concept to [[exterior angle]]
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==Properties==
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#All the interior angles of an <math>n</math> sided regular polygon, sum to <math>(n-2)180</math> degrees.
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#All the interior angles of an <math>n</math> sided regular polygon,are <math>180(1-{2\over n})</math> degrees.
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#As the interior angles, of an <math>n</math> sided regular polygon get larger, the ratio of the [[perimeter]] to the [[apothem]] approaches <math>\pi</math>

Latest revision as of 22:28, 27 February 2020

The interior angle is the angle between two line segments, having two endpoints connected via a path, facing the path connecting them.

The regular polygons are formed by have all interior angles equiangular

This is the complementary concept to exterior angle

Properties

  1. All the interior angles of an $n$ sided regular polygon, sum to $(n-2)180$ degrees.
  2. All the interior angles of an $n$ sided regular polygon,are $180(1-{2\over n})$ degrees.
  3. As the interior angles, of an $n$ sided regular polygon get larger, the ratio of the perimeter to the apothem approaches $\pi$