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Area of Heptagon Formula

GoArea of Heptagon given Height Formula

GoArea of Heptagon given Perimeter Formula

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The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon. Check FAQs

A = \frac{7 \cdot S^{2}}{4 \cdot \tan (\frac{π}{7})}

A - Area of Heptagon?S - Side of Heptagon?π - Archimedes' constant?

Area of Heptagon Example

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Here is how the Area of Heptagon equation looks like with Values.

Here is how the Area of Heptagon equation looks like with Units.

Here is how the Area of Heptagon equation looks like.

363.3912 = \frac{7 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{7})}

363.3912m² = \frac{7 \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{7})}

363.3912 = \frac{7 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{7})}

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Area of Heptagon Solution

Follow our step by step solution on how to calculate Area of Heptagon?

FIRST Step Consider the formula

A = \frac{7 \cdot S^{2}}{4 \cdot \tan (\frac{π}{7})}

Next Step Substitute values of Variables

∴

A = \frac{7 \cdot {10m}^{2}}{4 \cdot \tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

A = \frac{7 \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

A = \frac{7 \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

A = 363.391244400159m²

LAST Step Rounding Answer

∴

A = 363.3912m²

Area of Heptagon Formula Elements

Variables

Constants

Functions

Area of Heptagon

The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Heptagon

Side of Heptagon

Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Heptagon

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 to find Area of Heptagon

Go Area of Heptagon given Height

A = \frac{7}{4} \cdot \frac{{(2 \cdot h \cdot \tan (\frac{(\frac{π}{2})}{7}))}^{2}}{\tan (\frac{π}{7})}

Go Area of Heptagon given Perimeter

A = \frac{7}{4} \cdot \frac{{(\frac{P}{7})}^{2}}{\tan (\frac{π}{7})}

Other formulas in Area of Heptagon category

Go Area of Triangle of Heptagon given Inradius

A Triangle = \frac{1}{2} \cdot S \cdot r i

How to Evaluate Area of Heptagon?

Area of Heptagon evaluator uses Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)) to evaluate the Area of Heptagon, Area of Heptagon is defined as the amount of space occupied by the surface inside the Heptagon. Area of Heptagon is denoted by A symbol.

How to evaluate Area of Heptagon using this online evaluator? To use this online evaluator for Area of Heptagon, enter Side of Heptagon (S) and hit the calculate button.

FAQs on Area of Heptagon

What is the formula to find Area of Heptagon?

The formula of Area of Heptagon is expressed as Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)). Here is an example- 363.3912 = (7*10^2)/(4*tan(pi/7)).

How to calculate Area of Heptagon?

With Side of Heptagon (S) we can find Area of Heptagon using the formula - Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Area of Heptagon?

Here are the different ways to Calculate Area of Heptagon-

Area of Heptagon=7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon=7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)

Can the Area of Heptagon be negative?

No, the Area of Heptagon, measured in Area cannot be negative.

Which unit is used to measure Area of Heptagon?

Area of Heptagon 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 Heptagon can be measured.

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