Understanding the Properties and Uses of Pentagons | A Comprehensive Guide

PENTAGON

A pentagon is a polygon with five sides and five angles

A pentagon is a polygon with five sides and five angles. It is a two-dimensional shape that is bounded by five line segments, called sides. The sides are connected to form a closed figure, and each side intersects with two adjacent sides at their endpoints. The angles inside a pentagon add up to a total of 540 degrees.

Properties of a regular pentagon:
– All sides of a regular pentagon are equal in length.
– All angles of a regular pentagon are equal in measure.
– The sum of the interior angles of a pentagon is always 540 degrees.
– The sum of the exterior angles of a pentagon is always 360 degrees.

To calculate the measure of each angle in a regular pentagon, we can use the formula:
Angle measure = (540 degrees) / 5 = 108 degrees.

A regular pentagon has several symmetries, including rotational symmetry of order 5, meaning that it can be rotated by a certain angle repeatedly and still coincide with its original form after every fifth rotation.

Pentagons are commonly found in architecture, art, and design. The United States Department of Defense building is famously known as “The Pentagon” due to its distinctive pentagonal shape, which houses various military departments and offices.

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