Pentagon Area Calculator

'Pentagon Area Calculator' is an online tool that helps to calculate the area of a pentagon.

What is Pentagon Area Calculator?

Online Pentagon Area Calculator helps you to calculate the area of a pentagon for a given side within a few seconds.

Pentagon Area Calculator

How to Use Pentagon Area Calculator?

Please follow the below steps to find the pentagon area:

• Step 1: Enter the length of the side of a pentagon in the given input box.
• Step 2: Click on the "Calculate" button to find the area of a pentagon.
• Step 3: Click on the "Reset" button to find the area for different sides of a pentagon.

How to Find Pentagon Area Calculator?  

A pentagon is defined as a geometrical two-dimensional shape, which has five sides and five angles. The pentagon shape is taken from Greek “Penta” denotes five and “gon” denotes angle and it is a five-sided polygon.

The area of a pentagon is defined as the amount of space enclosed within the boundary of a pentagon.

Area of Pentagon = 1/4√ (5(5 + 2√5)) s² = 1.72 s² square units

where 's' is the length of the side of the pentagon

Solved Examples on Pentagon Area Calculator

Example 1:

Find the area of a pentagon whose length of a side is 5 units.

Solution:

Area of pentagon = 1.72 s²

= 1.72 × 5²

= 1.72 × 25

= 43 square units

Therefore, the area of a pentagon is 43 square units.

Example 2:

Find the area of a pentagon whose length of a side is 8 units.

Solution:

Area of pentagon = 1.72 s²

= 1.72 × 8²

= 1.72 × 64

= 110.08 square units

Therefore, the area of a pentagon is 110.08 square units.

Example 3:

Find the area of a pentagon whose length of a side is 11 units.

Solution:

Area of pentagon = 1.72 s²

= 1.72 × 11²

= 1.72 × 121

= 208.12 square units

Therefore, the area of a pentagon is 208.12 square units.

Similarly, you can try the calculator to find the pentagon area with the following length of sides given.

1) side = 7 units  2) side = 12 units

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