# How many degrees in a decagon

## Assignment Point - Solution for Best Assignment Paper Constructing a regular decagon inside a circle

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The sum of the degrees of any regular polygon with number of sides n is equal to n - 2 x There are degrees in a decagon. A decagon will always have its interior angles measure A decagon is a 10 sided polygon. Exterior degrees total Interior degrees total Each interior angle of a regular decagon would measure degrees,. The angles of any triangle add to degrees.

A decagon is defined as a polygon with ten sides. A decagon has 10 sides and 10 internal angles. It has ten vertices as well. Decagons may be irregular or regular. A regular decagon is referred as a decagon that has all 10 sides equal in length and has all 10 interior angles equal in measure. To find the measure of the central angle of a regular decagon, make a circle in the middle. A circle is degrees around.

In geometry , a decagon is a ten-sided polygon or gon. The area of a regular decagon of side length a is given by: . In terms of the apothem r see also inscribed figure , the area is:. In terms of the circumradius R , the area is:. By simple trigonometry ,. Both in the construction with given circumcircle  as well as with given side length is the golden ratio dividing a line segment by exterior division the determining construction element. The regular decagon has Dih 10 symmetry , order

A polygon is any closed figure with sides made from straight lines. At each vertex of a polygon, there is both an interior and exterior angle, corresponding to the angles on the inside and outside of the closed figure. Understanding the relationships that govern these angles is useful in various geometrical problems. In particular, it is helpful to know how to calculate the sum of interior angles in a polygon. This can be done using a simple formula, or by dividing the polygon into triangles. To calculate the sum of interior angles, start by counting the number of sides in your polygon. Next, plug this number into the formula for the "n" value.

## How is each interior angle of a decagon 144

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## The Sum of the Interior Angles in a Polygon

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