The pentagon is derived from the Greek word Pentagonos, Which means Five-angled. A pentagon is a geometrical Shape. Penta denotes Five, and gon indicates angle.
Pentagon is a Type of Polygon, sum of all interior angles for a regular pentagon is 540 degrees. In short, a two-dimensional shape composed of straight lines and interior angles is known as a polygon.
A pentagon is a Polygon with Five sides and Five angles. All the sides of a pentagon meet with each other. Therefore, The number of sides of a pentagon= 5
In geometry, We study different types of shapes. There are some examples of Polygons-
- Triangle (three-sided Polygon)
- Quadrilateral (four-sided Polygon)
- Pentagon (five-sided Polygon)
- Hexagon (six-sided Polygon)
- Heptagon (seven-sided Polygon)
In this article, we learn on – How many sides does a pentagon have? We have added all the information on the pentagon that you should know about, so read carefully till the end.
Pentagon Properties
There are some essential properties of the pentagon as follows-
- The total sum of the interior angle of a rectangular pentagon is 540 degrees.
- The equilateral Pentagon has five equal sides.
- If all the sides and all the angles are equal measures, then it is defined as a Regular pentagon. Otherwise, it is an irregular pentagon.
- In the pentagon, the sum of the angles is equal to 540 degrees.
- Regular pentagon, each interior angle measure 108 degrees, exterior angle measure 72 degrees
Example
For better understanding, Let’s Focus on the Example-
Question: Find the area and perimeter of a regular pentagon whose side is 5 cm, and apothem length is 6 cm.
Solution:
Given:
The side of a pentagon, a = 5 cm
Apothem Length = 6 cm
We know that
The area of a pentagon, A = (5/2) ×Side Length ×Apothem square units
Substitute side = 5 cm, Apothem = 6 cm in formula,
A = (5/2) × 5 × 6
A = 5 × 5 × 3
A = 75
Therefore, the area of a pentagon is 75 cm2
The perimeter of a pentagon, P = 5a units
P = 5(5)
P = 25 cm
Frequently Asked Questions
How many sides does a pentagon have?
A pentagon is a geometrical Shape. Penta denotes Five, and gon indicates angle. Thus, a pentagon has a shape that has five sides and five angles.
How many types of pentagons?
There are eight types of pentagons. Simple pentagon, Complex pentagon, Regular pentagon, Cyclic Pentagon, Convex pentagon, Concave pentagon, Irregular pentagon, Regular pentagon
How many types of Polygon?
In the above, we have already added the type of Polygon.