Free Area of a Pentagon Calculator

Use this free area of a pentagon calculator to solve any pentagon area problem

Our free Area of a Pentagon Calculator can be used to instantly find the area of a regular pentagon with side length s. The area of a pentagon calculator use the area of a pentagon formula to make calculations.

To use the Area of a Pentagon Calculator below, just input the value of the side length, s, of a pentagon and then hit ENTER or DONE to calculate the area of the pentagon.

How Can You Use the Area of a Pentagon Calculator?

The free area of a pentagon calculator above is an effective math tool that you can use for calculating the area of a pentagon quickly and accurately. While we recommend that you learn how to find the area of a pentagon without a calculator, there will be occasions when you do not have time to make manual calculations, which come with the risk of making small errors that can cause to end up with an incorrect answer.

So, when accuracy is your top priority, an easy-to-use calculator can be an extremely useful tool. You can also use the area of a pentagon calculator to make sure that your manual calculations are correct (i.e. use it as a tool to check your work).

What is the area of a pentagon formula?

Our calculator uses the area of a pentagon formula to find the area of any regular pentagon. As long as you know the length of the sides, s, then you can input that value of s into the formula to find the area.

You can always calculate the area of a pentagon by using the formula A=1/4 x √(5(5+2√5) x s^2, where A equals the area of the pentagon and s equals the length of its sides.

 
 

Practice Problem: Calculate the Area of a Pentagon

Example: Find the area of a regular pentagon with a side length of 6 inches.

For this example, s=6

To calculate the area of the pentagon, plug s=6 into the area of a pentagon formula and solve for A as follows:

  • A=1/4 x √(5(5+2√5) x s^2² → A=1/4 x √(5(5+2√5) x 6^2 ≈ 61.93719

So, the area of pentagon with a side length of 6 inches equals approximately 61.9 in^2

You can use the area of a pentagon calculator above to verify this answer.

 
 

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