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Area of Hexadecagon given Perimeter Formula

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GoArea of Hexadecagon given Height Formula

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

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

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

Area of Hexadecagon given Perimeter Example

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

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

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

502.7339 = 4 \cdot {(\frac{80}{16})}^{2} \cdot \cot (\frac{3.1416}{16})

502.7339m² = 4 \cdot {(\frac{80m}{16})}^{2} \cdot \cot (\frac{3.1416}{16})

502.7339 = 4 \cdot {(\frac{80}{16})}^{2} \cdot \cot (\frac{3.1416}{16})

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Area of Hexadecagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 4 \cdot {(\frac{80m}{16})}^{2} \cdot \cot (\frac{π}{16})

Next Step Substitute values of Constants

∴

A = 4 \cdot {(\frac{80m}{16})}^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Prepare to Evaluate

∴

A = 4 \cdot {(\frac{80}{16})}^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Evaluate

∴

A = 502.733949212585m²

LAST Step Rounding Answer

∴

A = 502.7339m²

Area of Hexadecagon given Perimeter 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

Perimeter of Hexadecagon

Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

Go Area of Hexadecagon given Height

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

How to Evaluate Area of Hexadecagon given Perimeter?

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

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

FAQs on Area of Hexadecagon given Perimeter

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

The formula of Area of Hexadecagon given Perimeter is expressed as Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16). Here is an example- 502.7339 = 4*(80/16)^2*cot(pi/16).

How to calculate Area of Hexadecagon given Perimeter?

With Perimeter of Hexadecagon (P) we can find Area of Hexadecagon given Perimeter using the formula - Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^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*Side of Hexadecagon^2*cot(pi/16)
Area of Hexadecagon=4*Height of Hexadecagon^2*tan(pi/16)

Can the Area of Hexadecagon given Perimeter be negative?

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

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

Area of Hexadecagon 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 Hexadecagon given Perimeter can be measured.

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