kids encyclopedia robot

Heptadecagon facts for kids

Kids Encyclopedia Facts
Heptadecagon
A heptadecagon

A heptadecagon or septadecagon or 17-gon is a shape with 17 sides and 17 corners.

Regular heptadecagon

All sides of a regular heptadecagon are the same length. Each corner is 158.82°. All corners added together equal 2700°.

Area

The amount of space a regular heptadecagon takes up is

The area of a regular heptadecagon of side length a is given by

A = \frac{17}{4}a^2\cot\frac{\pi}{17}\simeq 22,735a^2

Heptadecagon construction

The regular heptadecagon edit geometry compass and ruler in 1796, demonstrated Carl Friedrich Gauss.

This is due to Göttingen of a memorial statue of a regular heptadecagon pedestal.

The following animation of a heptadecagon editing.

HeptadecagonConstructionAni

Related pages


Images for kids

  • Gauß 17-Eck

    Publication by C. F. Gauss in Intelligenzblatt der allgemeinen Literatur-Zeitung

  • 01-Heptadecagon-Carlyle circle

    Construction according to Duane W. DeTemple with Carlyle circles, animation 1 min 57 s

  • Symmetries of heptadecagon

    Symmetries of a regular heptadecagon. Vertices are colored by their symmetry positions. Blue mirror lines are drawn through vertices and edges. Gyration orders are given in the center.

See also

Kids robot.svg In Spanish: Heptadecágono para niños

kids search engine
All content from Kiddle encyclopedia articles (including the article images and facts) can be freely used under Attribution-ShareAlike license, unless stated otherwise. Cite this article:
Heptadecagon Facts for Kids. Kiddle Encyclopedia.