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Area of Heptagon given Height Formula

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

A - Area of Heptagon?h - Height of Heptagon?π - Archimedes' constant?

Area of Heptagon given Height Example

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

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

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

366.5022 = \frac{7}{4} \cdot \frac{{(2 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

366.5022m² = \frac{7}{4} \cdot \frac{{(2 \cdot 22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

366.5022 = \frac{7}{4} \cdot \frac{{(2 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

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Area of Heptagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 22m \cdot \tan (\frac{(\frac{π}{2})}{7}))}^{2}}{\tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

A = 366.502170898373m²

LAST Step Rounding Answer

∴

A = 366.5022m²

Area of Heptagon given Height 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

Height of Heptagon

Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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 given Height?

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

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

FAQs on Area of Heptagon given Height

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

The formula of Area of Heptagon given Height is expressed as Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7). Here is an example- 366.5022 = 7/4*((2*22*tan(((pi/2))/7))^2)/tan(pi/7).

How to calculate Area of Heptagon given Height?

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

Can the Area of Heptagon given Height be negative?

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

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

Area of Heptagon given Height 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 Height can be measured.

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