Difference between revisions of "Interior angle"
m |
m (somewhat reorganized, made more clear, fixed inaccuracy) |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
The '''interior angle''' is the [[angle]] between two line segments, having two endpoints connected via a path, facing the path connecting them. | 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== | ==Properties== | ||
| − | #All the interior angles of an <math>n</math> sided regular polygon | + | #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. | |
| − | #All the interior angles of an <math>n</math> sided regular polygon | + | #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]] | ||
Latest revision as of 09:02, 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
.
sided regular polygon sum to 
degrees.
degrees.
.
