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]

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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 00.007 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 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.

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