What is Pentagon?

What is Pentagon?

A pentagon is a type of polygon that is characterized by having five straight sides and five interior angles. When the term is used, it typically refers to a regular pentagon, where all sides are of equal length and all interior angles are equal, each measuring 108 degrees. The sum of the interior angles of any pentagon is always 540 degrees...

Pentagon Shape

The term “Pentagon” originates from the Greek words “Penta,” which means “five,” and “gonia,” which means “angles.” Thus, a Pentagon is a geometric figure defined by having five sides and five interior angles....

Pentagon Examples in Real-life

A diamond can resemble a pentagon with its five sides and five corners. The headquarters of the United States Department of Defense is famously known as the Pentagon due to its architectural resemblance to a pentagon shape. A football is constructed from several black and white pentagonal patches of five-sided shape. Echinoderms like sea stars exhibit a pentagonal symmetry in their body structure....

Parts of Pentagon

Some of the most common parts of pentagon are:...

Angles in Pentagon

An angle is created when two sides of the Pentagon intersect at a common point known as the Angle’s vertex. In this section, we will explore different types of angles within a pentagon, including...

Types of Pentagons

Pentagons can be classified into four types depending on their sides, angles, and vertices....

Regular and Irregular Pentagons

A Regular polygon contains all its sides are of equal length, and all its angles have the same measure. This symmetry ensures that the polygon looks the same from any angle or side. In the case of a Regular Pentagon, it always appears identical....

Convex and Concave Pentagon

A Convex Pentagon is a polygon in which all its vertices point outwards, creating a shape that does not pointing inwards. In a Convex Pentagon, no internal angles are greater than 180°....

Equilateral Pentagon

An Equilateral Pentagon is a geometric shape where all five sides are of the same length. While the angles within this type of pentagon can vary within a specific range, it is referred to as “equilateral and equiangular” when all sides and angles are equal....

Cyclic Pentagon

A Cyclic Pentagon is a polygon in geometry where all of its vertices are positioned on the circumference of a circle. This characteristic of having its vertices on the circle’s boundary is what defines it as a “cyclic” pentagon. A classic example of a cyclic pentagon is a regular pentagon....

Properties of Pentagon

A Pentagon is a 2D shape featuring five sides and five interior angles. Its key properties include:...

Line of Symmetry

The number of lines of symmetry in a regular polygon is equivalent to the number of its sides. These symmetrical lines extend from a vertex to the midpoint of the opposite side, creating a total of 5 lines that divide the pentagon into congruent halves. A regular pentagon has five lines of symmetry: one horizontal, one vertical, and three diagonals....

Area of Pentagon

Formula for finding the area of a Regular Pentagon is as follows:...

Perimeter of Pentagon

It is the total distance covered around the edge of the Pentagon. The formula of perimeter or circumference of a pentagon is written as,...

Solved Examples on Pentagon

Example 1: Determine the area of a Regular Pentagon, if Ayushi measures one of its side is 10 cm long, and the apothem (a segment from the center to the midpoint of a side) is 8 cm in length....

Practice Problems on Pentagon

Q1. If the side length of a perimeter is 22 cm, what would be the perimeter of the Pentagon?...

Conclusion of Pentagon

A pentagon is a two-dimensional geometric figure with five straight sides and five interior angles summing to 540 degrees. As a polygon, it can be regular, with equal sides and angles of 108 degrees, or irregular, with varying lengths and angles the term “Pentagon” derives from Greek, indicating its five-angled nature....

Pentagon- FAQs

What is Pentagon in Geometry?...