Regular Polygon Calculator
A polygon is defined as the closed two-dimensional figure, that comprises three or more straight lines. The term polygon originates from the Greek word poly - meaning “many” and “- gon,” meaning “angles.
What is Regular Polygon Calculator?
'Regular Polygon Calculator' is an online tool that helps to calculate the area and perimeter of a regular polygon. Online Regular Polygon Calculator helps you to calculate the area and perimeter of a regular polygon within a few seconds.
Regular Polygon Calculator
NOTE: Enter the values up to three digits.
How to Use Regular Polygon Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find the area and perimeter of a regular polygon.
- Step 2: Enter the number of sides and length of the side in the given input box.
- Step 3: Click on the "Calculate" button to find the area and perimeter of a regular polygon.
- Step 4: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Regular Polygon Calculator?
The area of the regular polygon is defined as the amount of space enclosed within the boundary of a polygon. It is measured in square units.
Area of the regular polygon = (s)2 × N / 4tan(π / N)
Where 's' is the length of the side of the polygon, 'N' is the number of sides of the polygon, and assume π is 180°
The perimeter of the regular polygon is defined as the sum of all lengths of the sides of the polygon for a given number of sides. The formula to calculate the perimeter of the polygon is:
The perimeter of the regular polygon = Sum of all the sides = Number of sides × length of the side
Solved Examples on Regular Polygon Calculator
Example 1:
Find the area and perimeter of the regular polygon if the number of sides of a polygon is 3 and the length of a side of the polygon is 5 units.
Solution:
Given: Number of sides = 3 and length of side = 5 units
Area of the regular polygon = (s)2 × N / 4tan(π / N)
= 52 × 3 / 4tan(180 / 3) [assume π = 180°]
= 25 × 3 / 4tan60°
= 10.839 square units
The perimeter of the regular polygon = sum of all sides of a polygon
= 5 + 5 + 5
= 15 units.
Example 2:
Find the area and perimeter of the regular polygon if the number of sides of a polygon is 5 and the length of a side of the polygon is 7 units.
Solution:
Given: Number of sides = 5 and length of side = 7 units
Area of the regular polygon = (s)2 × N / 4tan(π / N)
= 72 × 5 / 4tan(180 / 5) [assume π = 180°]
= 49 × 5 / 4tan36°
= 84.48 square units
The perimeter of the regular polygon = sum of all sides of a polygon
= 7 + 7 + 7 + 7 + 7
= 35 units.
Example 3:
Find the area and perimeter of the regular polygon if the number of sides of a polygon is 4 and the length of a side of the polygon is 6 units.
Solution:
Given: Number of sides = 4 and length of side = 6 units
Area of the regular polygon = (s)2 × N / 4tan(π / N)
= 62 × 4 / 4tan(180 / 4) [assume π = 180°]
= 36 × 4 / 4tan45°
= 36 square units
The perimeter of the regular polygon = sum of all sides of a polygon
= 6 + 6 + 6 + 6
= 24 units.