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Area of Hexadecagon Formula

GoArea of Hexadecagon given Height 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 S^{2} \cdot \cot (\frac{π}{16})

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

Area of Hexadecagon Example

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

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

Here is how the Area of Hexadecagon equation looks like.

502.7339 = 4 \cdot 5^{2} \cdot \cot (\frac{3.1416}{16})

502.7339m² = 4 \cdot {5m}^{2} \cdot \cot (\frac{3.1416}{16})

502.7339 = 4 \cdot 5^{2} \cdot \cot (\frac{3.1416}{16})

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Area of Hexadecagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 4 \cdot {5m}^{2} \cdot \cot (\frac{π}{16})

Next Step Substitute values of Constants

∴

A = 4 \cdot {5m}^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Prepare to Evaluate

∴

A = 4 \cdot 5^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Evaluate

∴

A = 502.733949212585m²

LAST Step Rounding Answer

∴

A = 502.7339m²

Area of Hexadecagon 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

Side of Hexadecagon

Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Area of Hexadecagon

Go Area of Hexadecagon given Height

A = 4 \cdot h^{2} \cdot \tan (\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?

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

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

FAQs on Area of Hexadecagon

What is the formula to find Area of Hexadecagon?

The formula of Area of Hexadecagon is expressed as Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16). Here is an example- 502.7339 = 4*5^2*cot(pi/16).

How to calculate Area of Hexadecagon?

With Side of Hexadecagon (S) we can find Area of Hexadecagon using the formula - Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16). This formula also uses Archimedes' constant and Cotangent (cot) 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*Height of Hexadecagon^2*tan(pi/16)
Area of Hexadecagon=4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)

Can the Area of Hexadecagon be negative?

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

Which unit is used to measure Area of Hexadecagon?

Area of Hexadecagon 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 can be measured.

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