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Area of N-gon Formula

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Area of N-gon is the amount of two-dimensional space taken up by the Polygon with an N-number of sides. Check FAQs

A = \frac{N Sides \cdot {l e}^{2}}{4 \cdot \tan (\frac{π}{N Sides})}

A - Area of N-gon?N_Sides - Number of Sides of N-gon?l_e - Edge Length of N-gon?π - Archimedes' constant?

Area of N-gon Example

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Here is how the Area of N-gon equation looks like with Values.

Here is how the Area of N-gon equation looks like with Units.

Here is how the Area of N-gon equation looks like.

482.8427 = \frac{8 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{8})}

482.8427m² = \frac{8 \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{8})}

482.8427 = \frac{8 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{8})}

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Area of N-gon Solution

Follow our step by step solution on how to calculate Area of N-gon?

FIRST Step Consider the formula

A = \frac{N Sides \cdot {l e}^{2}}{4 \cdot \tan (\frac{π}{N Sides})}

Next Step Substitute values of Variables

∴

A = \frac{8 \cdot {10m}^{2}}{4 \cdot \tan (\frac{π}{8})}

Next Step Substitute values of Constants

∴

A = \frac{8 \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{8})}

Next Step Prepare to Evaluate

∴

A = \frac{8 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{8})}

Next Step Evaluate

∴

A = 482.842712474619m²

LAST Step Rounding Answer

∴

A = 482.8427m²

Area of N-gon Formula Elements

Variables

Constants

Functions

Area of N-gon

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of N-gon

Number of Sides of N-gon

Number of Sides of N-gon is the number of line segments required to make a N-gon.

Symbol: N_Sides

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of N-gon

Edge Length of N-gon

Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of N-gon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: tan(Angle)

Other formulas in Area and Perimeter of N gon category

Go Perimeter of N-gon

P = l e \cdot N Sides

How to Evaluate Area of N-gon?

Area of N-gon evaluator 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 evaluate 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 evaluate Area of N-gon using this online evaluator? To use this online evaluator 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.

FAQs on Area of N-gon

What is the formula to find Area of N-gon?

The formula of Area of N-gon is expressed as 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)). Here is an example- 482.8427 = (8*10^2)/(4*tan(pi/8)).

How to calculate Area of N-gon?

With Number of Sides of N-gon (N_Sides) & Edge Length of N-gon (l_e) we can find Area of N-gon using the formula - 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)). This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Area of N-gon be negative?

No, the Area of N-gon, measured in Area cannot be negative.

Which unit is used to measure Area of N-gon?

Area of N-gon is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of N-gon can be measured.

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Area of N-gon Formula

Area of N-gon Example

Area of N-gon Solution

Area of N-gon Formula Elements

Other formulas in Area and Perimeter of N gon category

How to Evaluate Area of N-gon?

FAQs on Area of N-gon

Variable Name