Pentadecagon facts for kids
A pentadecagon is a flat shape that has 15 straight sides and 15 corners. It's also sometimes called a quindecagon or simply a 15-gon.
Quick facts for kids Regular pentadecagon |
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A regular pentadecagon
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| Type | Regular polygon |
| Edges and vertices | 15 |
| Schläfli symbol | {15} |
| Coxeter diagram |    |
| Symmetry group | Dihedral (D15), order 2×15 |
| Internal angle (degrees) | 156° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Contents
What is a Regular Pentadecagon?
In a regular pentadecagon, all 15 sides are exactly the same length. Also, all 15 corners (or angles) are equal. Each corner measures 156 degrees. If you add up all the angles inside, they total 2340 degrees.
Finding the Area of a Pentadecagon
The area of a regular pentadecagon is the amount of space it covers. To find it, you would need to know the length of one of its sides, often called 'a'.
How Pentadecagons are Used
Did you know that a regular triangle, a decagon (a 10-sided shape), and a pentadecagon can fit together perfectly around a single point without any gaps? This is a cool way shapes can 'tile' a flat surface, like puzzle pieces!
Images for kids
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The symmetries of a regular pentadecagon as shown with colors on edges and vertices. Lines of reflections are blue. Gyrations are given as numbers in the center. Vertices are colored by their symmetry positions.
See also
In Spanish: Pentadecágono para niños
