nonagon
9 sided polygon
A nonagon is a polygon that has nine sides and nine angles. The sum of the interior angles of a nonagon is 1260 degrees. Each of the exterior angles of a nonagon has a measure of 40 degrees.
A regular nonagon is a nonagon where all sides and angles are congruent. A regular nonagon can be inscribed in a circle, meaning all of its vertices are on the circumference of a circle. The radius of the circle in which a regular nonagon is inscribed is known as the circumradius. The formula to calculate the circumradius of a regular nonagon is R = a/(2sin(π/9)), where R is the circumradius and a is the length of any side of the nonagon.
Nonagons can be used in various mathematical and physical applications. For example, the shape of the United Nations building in New York City is a regular nonagon. In crystallography, nonagon-shaped crystals are observed in certain substances. The nonagon also appears in mathematical tiling patterns and is used in various polyhedral designs.
More Answers:
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