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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+ | All of the interior angles of a [[regular polygon]] are congruent (in other words, regular polygons are [[equiangular]]). | ||
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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. | ||
+ | #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>. | ||
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+ | == See Also == | ||
+ | * [[Exterior 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).
Properties
- All the interior angles of an
sided regular polygon sum to
degrees.
- All the interior angles of an
sided regular polygon are
degrees.
- As the interior angles of an
sided regular polygon get larger, the ratio of the perimeter to the apothem approaches
.