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In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon. [1] The total sum of the interior angles of a simple decagon is 1440°. Regular decagon
Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities; List of volume formulas – Quantity of three-dimensional space
The regular hexadecagon has Dih 16 symmetry, order 32. There are 4 dihedral subgroups: Dih 8, Dih 4, Dih 2, and Dih 1, and 5 cyclic subgroups: Z 16, Z 8, Z 4, Z 2, and Z 1, the last implying no symmetry.
In terms of the circumradius R, the area is: [1] = = The span S of the dodecagon is the distance between two parallel sides and is equal to twice the apothem. A simple formula for area (given side length and span) is: =
The explicit construction of a heptadecagon was given by Herbert William Richmond in 1893. The following method of construction uses Carlyle circles , as shown below. Based on the construction of the regular 17-gon, one can readily construct n -gons with n being the product of 17 with 3 or 5 (or both) and any power of 2: a regular 51-gon, 85 ...
A full proof of necessity was given by Pierre Wantzel in 1837. The result is known as the Gauss–Wantzel theorem . Equivalently, a regular n -gon is constructible if and only if the cosine of its common angle is a constructible number —that is, can be written in terms of the four basic arithmetic operations and the extraction of square roots.
SAN FRANCISCO (Reuters) - - Decagon, a startup that sells artificial intelligence-powered customer support solutions, said on Tuesday it had raised $35 million in Series A and seed funding. Accel ...
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]