Difference between revisions of "Interior angle"

Latest revision as of 10:02, 1 August 2024

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

All of the interior angles of a regular polygon are congruent (in other words, regular polygons are equiangular).

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

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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.
+All of the interior angles of a [[regular polygon]] are congruent (in other words, regular polygons are [[equiangular]]).
+==Properties==
+#All the interior angles of an <math>n</math> sided regular polygon sum to <math>(n-2)180</math> degrees.
+#All the interior angles of an <math>n</math> sided regular polygon are <math>180(1-{2\over n})</math> degrees.
+#As the interior angles of an <math>n</math> sided regular polygon get larger, the ratio of the [[perimeter]] to the [[apothem]] approaches <math>2\pi</math>.
+== See Also ==
+* [[Exterior angle]]