Area of N-gon Calculator

✖Number of Sides of N-gon is the number of line segments required to make a N-gon.ⓘ Number of Sides of N-gon [N_Sides]			+10% -10%
✖Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.ⓘ Edge Length of N-gon [l_e]			+10% -10%

✖Area of N-gon is the amount of two-dimensional space taken up by the Polygon with an N-number of sides.ⓘ Area of N-gon [A]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download N gon Formulas PDF PDF Image

Area of N-gon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon))
A = (N_Sides*l_e^2)/(4*tan(pi/N_Sides))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Area of N-gon - (Measured in Square Meter) - Area of N-gon is the amount of two-dimensional space taken up by the Polygon with an N-number of sides.
Number of Sides of N-gon - Number of Sides of N-gon is the number of line segments required to make a N-gon.
Edge Length of N-gon - (Measured in Meter) - Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.

STEP 1: Convert Input(s) to Base Unit

Number of Sides of N-gon: 8 --> No Conversion Required
Edge Length of N-gon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (N_Sides*l_e^2)/(4*tan(pi/N_Sides)) --> (8*10^2)/(4*tan(pi/8))

Evaluating ... ...

A = 482.842712474619

STEP 3: Convert Result to Output's Unit

482.842712474619 Square Meter --> No Conversion Required

FINAL ANSWER

482.842712474619 ≈ 482.8427 Square Meter <-- Area of N-gon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » N gon » Area and Perimeter of N gon » Area of N-gon

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Area and Perimeter of N gon Calculators

Area of N-gon

LaTeX Go Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon))

Perimeter of N-gon

LaTeX Go Perimeter of N-gon = Edge Length of N-gon*Number of Sides of N-gon

Area of N-gon Formula

LaTeX Go

Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon))
A = (N_Sides*l_e^2)/(4*tan(pi/N_Sides))

What is N-gon?

N-gon is a polygon with N sides and N vertices. An n-gon, can be either convex or concave. A convex polygon has none of its interior angles greater than 180°. On the contrary, a concave polygon has one or more of its interior angles greater than 180°. A polygon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Area of N-gon?

Area of N-gon calculator uses Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon)) to calculate the Area of N-gon, Area of N-gon formula is defined as the amount of space occupied by the N-gon. Area of N-gon is denoted by A symbol.

How to calculate Area of N-gon using this online calculator? To use this online calculator for Area of N-gon, enter Number of Sides of N-gon (N_Sides) & Edge Length of N-gon (l_e) and hit the calculate button. Here is how the Area of N-gon calculation can be explained with given input values -> 482.8427 = (8*10^2)/(4*tan(pi/8)).

FAQ

What is Area of N-gon?

Area of N-gon formula is defined as the amount of space occupied by the N-gon and is represented as A = (N_Sides*l_e^2)/(4*tan(pi/N_Sides)) or Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon)). Number of Sides of N-gon is the number of line segments required to make a N-gon & Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.

How to calculate Area of N-gon?

Area of N-gon formula is defined as the amount of space occupied by the N-gon is calculated using Area of N-gon = (Number of Sides of N-gon*Edge Length of N-gon^2)/(4*tan(pi/Number of Sides of N-gon)). To calculate Area of N-gon, you need Number of Sides of N-gon (N_Sides) & Edge Length of N-gon (l_e). With our tool, you need to enter the respective value for Number of Sides of N-gon & Edge Length of N-gon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Spanish French German Russian Italian Portuguese Polish Dutch

Home

FREE PDFs

🔍 Search