Interior Angle | = | 120° |
Central Angle | = | 60° |
Slice Area | ≈ | 0.433 r2 |
Total Area | ≈ | 2.598 r2 |
Circumference | = | 6 r |
A hexagon is a polygon with 6 sides, and the sum of its interior angles is 720 degrees.
The values in the table above assume a regular polygon as in the picture. In a regular polygon, all angles and sides are equal, which means that a perfect circle can be drawn across all the vertices. The radius of this circle is called the circumradius, and is denoted r in the calculations above.
The more sides the regular polygon has, the more similar to a circle it becomes. As a result, the circumference gets closer and closer to 2 × π × r (≈ 6.283 r), and the area gets closer and closer to π × r2 (≈ 3.1415 r2).
Here are all the polygons with twenty or less sides:
Number of Sides | Polygon Name |
---|---|
3 | Triangle |
4 | Quadrilateral |
5 | Pentagon |
6 | Hexagon |
7 | Heptagon |
8 | Octagon |
9 | Nonagon |
10 | Decagon |
11 | Hendecagon |
12 | Dodecagon |
13 | Tridecagon |
14 | Tetradecagon |
15 | Pentadecagon |
16 | Hexadecagon |
17 | Heptadecagon |
18 | Octadecagon |
19 | Enneadecagon |
20 | Icosagon |