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Area of Heptagon given Perimeter Formula

GoArea of Heptagon Formula

GoArea of Heptagon given Height 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}{4} \cdot \frac{{(\frac{P}{7})}^{2}}{\tan (\frac{π}{7})}

A - Area of Heptagon?P - Perimeter of Heptagon?π - Archimedes' constant?

Area of Heptagon given Perimeter Example

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

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

Here is how the Area of Heptagon given Perimeter equation looks like.

363.3912 = \frac{7}{4} \cdot \frac{{(\frac{70}{7})}^{2}}{\tan (\frac{3.1416}{7})}

363.3912m² = \frac{7}{4} \cdot \frac{{(\frac{70m}{7})}^{2}}{\tan (\frac{3.1416}{7})}

363.3912 = \frac{7}{4} \cdot \frac{{(\frac{70}{7})}^{2}}{\tan (\frac{3.1416}{7})}

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Area of Heptagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{7}{4} \cdot \frac{{(\frac{70m}{7})}^{2}}{\tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

A = \frac{7}{4} \cdot \frac{{(\frac{70m}{7})}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

A = \frac{7}{4} \cdot \frac{{(\frac{70}{7})}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

A = 363.391244400159m²

LAST Step Rounding Answer

∴

A = 363.3912m²

Area of Heptagon given Perimeter 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

Perimeter of Heptagon

Perimeter of Heptagon is the total length around the edge of the Heptagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

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})}

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 given Perimeter?

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

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

FAQs on Area of Heptagon given Perimeter

What is the formula to find Area of Heptagon given Perimeter?

The formula of Area of Heptagon given Perimeter is expressed as Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7). Here is an example- 363.3912 = 7/4*((70/7)^2)/tan(pi/7).

How to calculate Area of Heptagon given Perimeter?

With Perimeter of Heptagon (P) we can find Area of Heptagon given Perimeter using the formula - Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/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*Side of Heptagon^2)/(4*tan(pi/7))
Area of Heptagon=7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Can the Area of Heptagon given Perimeter be negative?

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

Which unit is used to measure Area of Heptagon given Perimeter?

Area of Heptagon given Perimeter 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 given Perimeter can be measured.

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