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Area of Hexadecagon given Height Formula

GoArea of Hexadecagon Formula

GoArea of Hexadecagon given Perimeter Formula

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Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon. Check FAQs

A = 4 \cdot h^{2} \cdot \tan (\frac{π}{16})

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

Area of Hexadecagon given Height Example

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

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

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

497.2809 = 4 \cdot 25^{2} \cdot \tan (\frac{3.1416}{16})

497.2809m² = 4 \cdot {25m}^{2} \cdot \tan (\frac{3.1416}{16})

497.2809 = 4 \cdot 25^{2} \cdot \tan (\frac{3.1416}{16})

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Area of Hexadecagon given Height Solution

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

FIRST Step Consider the formula

A = 4 \cdot h^{2} \cdot \tan (\frac{π}{16})

Next Step Substitute values of Variables

∴

A = 4 \cdot {25m}^{2} \cdot \tan (\frac{π}{16})

Next Step Substitute values of Constants

∴

A = 4 \cdot {25m}^{2} \cdot \tan (\frac{3.1416}{16})

Next Step Prepare to Evaluate

∴

A = 4 \cdot 25^{2} \cdot \tan (\frac{3.1416}{16})

Next Step Evaluate

∴

A = 497.280918449145m²

LAST Step Rounding Answer

∴

A = 497.2809m²

Area of Hexadecagon given Height Formula Elements

Variables

Constants

Functions

Area of Hexadecagon

Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Hexadecagon

Height of Hexadecagon

Height of Hexadecagon 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 Hexadecagon

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 Hexadecagon

Go Area of Hexadecagon

A = 4 \cdot S^{2} \cdot \cot (\frac{π}{16})

Go Area of Hexadecagon given Perimeter

A = 4 \cdot {(\frac{P}{16})}^{2} \cdot \cot (\frac{π}{16})

How to Evaluate Area of Hexadecagon given Height?

Area of Hexadecagon given Height evaluator uses Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16) to evaluate the Area of Hexadecagon, The Area of Hexadecagon given Height formula is defined as the amount or quantity of space covered by Hexadecagon in the plane, calculated using height. Area of Hexadecagon is denoted by A symbol.

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

FAQs on Area of Hexadecagon given Height

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

The formula of Area of Hexadecagon given Height is expressed as Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16). Here is an example- 497.2809 = 4*25^2*tan(pi/16).

How to calculate Area of Hexadecagon given Height?

With Height of Hexadecagon (h) we can find Area of Hexadecagon given Height using the formula - Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Area of Hexadecagon?

Here are the different ways to Calculate Area of Hexadecagon-

Area of Hexadecagon=4*Side of Hexadecagon^2*cot(pi/16)
Area of Hexadecagon=4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)

Can the Area of Hexadecagon given Height be negative?

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

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

Area of Hexadecagon 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 Hexadecagon given Height can be measured.

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