What is a polygon? Polygon definition
A polygon is a 2D close up door figure made up of directly line segments. That's the polygon definition. However how does it look like? many shapes you learned around are polygons - triangle, square, parallelogram, rhombus, kite, pentagon, hexagon, octagon... A most them. But popular shapes that room not polygons also exist - take a circle and an ellipsis as an example.Polygons are classified based on their sides and angles, and also their convexity, symmetry and also other properties.
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In this polygon calculator we resolve the regular polygons - the one-of-a-kind polygon varieties which are:
equiangular - every angles space equal in measureequilateral - all sides have the very same lengthEvery continual polygon with n sides is created by n isosceles triangles.
How countless sides go a polygon have? surname of polygon shapes

3 - sided polygon | trigon (equilateral triangle) | 3 | ![]() | π/3 = 60° | 2π/3 = 120° |
4 - face polygon | tetragon, square (square) | 4 | ![]() | π/2 = 90° | π/2 = 90° |
5 - face polygon | pentagon | 5 | ![]() | 3π/5 = 108° | 2π/5 = 72° |
6 - sided polygon | hexagon | 6 | ![]() | 2π/3 = 120° | π/3 = 60° |
7 - sided polygon | heptagon (septagon) | 7 | ![]() | 5π/7 = 128.57° | 2π/7 = 51.43° |
8 - sided polygon | octagon | 8 | 3π/4 = 135° | π/4 = 45° | |
9 - face polygon | nonagon | 9 | 7π/9 = 140° | 2π/9 = 40° | |
10 - sided polygon | decagon | 10 | ![]() | 8π/10 = 144° | π/5 = 36° |
n - face polygon | n - gon | n | ![]() | (n-2) * 180°/n | 360°/n |
Other polygons
11 - sided polygon | Hendecagon (undecagon) | 11 | 147.273° | 32.73° |
12 - sided polygon | Dodecagon | 12 | 150° | 30° |
13 - sided polygon | Triskaidecagon | 13 | 152.308° | 27.69° |
14 - sided polygon | Tetrakaidecagon | 14 | 154.286° | 25.71° |
15 - face polygon | Pentadecagon | 15 | 156° | 24° |
16 - sided polygon | Hexakaidecagon | 16 | 157.5° | 22.5° |
17 - face polygon | Heptadecagon | 17 | 158.824° | 21.18° |
18 - face polygon | Octakaidecagon | 18 | 160° | 20° |
19 - sided polygon | Enneadecagon | 19 | 161.053° | 18.98° |
20 - sided polygon | Icosagon | 20 | 162° | 18° |
30 - sided polygon | Triacontagon | 30 | 168° | 12° |
40 - face polygon | Tetracontagon | 40 | 171° | 9° |
50 - face polygon | Pentacontagon | 50 | 172.8° | 7.2° |
60 - sided polygon | Hexacontagon | 60 | 174° | 6° |
70 - sided polygon | Heptacontagon | 70 | 174.857° | 5.14° |
80 - sided polygon | Octacontagon | 80 | 175.5° | 4.5° |
90 - face polygon | Enneacontagon | 90 | 176° | 4° |
100 - face polygon | Hectagon | 100 | 176.4° | 3.6° |
1,000 - sided polygon | Chiliagon | 1,000 | 179.64° | 0.36° |
10,000 - face polygon | Myriagon | 10,000 | 179.964° | 0.036° |
1,000,000 - sided polygon | Megagon | 1,000,000 | ~180° | ~0° |
10100 - sided polygon | Googolgon | 10100 | ~180° | ~0° |
Regular polygon formulas: sides, area, perimeter, angles
If you want to calculate the continuous polygon parameters straight from equations, all you require to recognize is the polygon shape and its next length:
Areaarea = n * a² * cot(π/n)/ 4Where n- number of sides, a - next length
Other equations, which use parameters such as the circumradius or perimeter, can likewise be provided to determine the area. Friend can find them in a specialized calculator that polygon area.
Perimeterperimeter = n * aRead an ext about polygon perimeter in the perimeter the a polygon calculator.

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Incircle radius (apothem)ri = a / (2 * tan(π/n))Circumcircle radiusrc = a / (2 * sin(π/n))All this equations are imposed in our polygon calculator.