A 20-sided polygon is called an icosagon. It has 20 angles, 20 vertices, and 20 sides, all of equal length. It is a regular polygon, meaning that all of its angles and sides are congruent.
The sum of the interior angles of an icosagon is 3240 degrees, which is calculated using the formula (n-2) x 180, where n is the number of sides. Each angle measures 162 degrees.
The formula for finding the perimeter (P) of an icosagon is P = 20 x s, where s is the length of each side. If the length of each side is 5 cm, then the perimeter of the icosagon would be 100 cm.
The formula for finding the area (A) of an icosagon is A = (5/4) x s^2 x √(5+2√5), where s is the length of each side. If the length of each side is 5 cm, then the area of the icosagon would be approximately 387.3 cm^2.
An icosagon can be divided into smaller polygons, such as triangles or rectangles, by drawing diagonals from one vertex to another. The number of diagonals in an icosagon is calculated using the formula n x (n-3)/2, where n is the number of sides. In this case, there are 170 diagonals in an icosagon.
The icosagon has many interesting properties and is utilized in various designs and architectural structures, such as in Islamic art and in the construction of domes and towers.
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