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Area of Hexadecagon given Diagonal across Five Sides Formula

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GoArea of Hexadecagon given Diagonal across Eight Sides Formula

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

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

A - Area of Hexadecagon?d₅ - Diagonal across Five Sides of Hexadecagon?π - Archimedes' constant?

Area of Hexadecagon given Diagonal across Five Sides Example

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Here is how the Area of Hexadecagon given Diagonal across Five Sides equation looks like with Values.

Here is how the Area of Hexadecagon given Diagonal across Five Sides equation looks like with Units.

Here is how the Area of Hexadecagon given Diagonal across Five Sides equation looks like.

488.2199 = 4 \cdot {(21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})})}^{2} \cdot \cot (\frac{3.1416}{16})

488.2199m² = 4 \cdot {(21m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})})}^{2} \cdot \cot (\frac{3.1416}{16})

488.2199 = 4 \cdot {(21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})})}^{2} \cdot \cot (\frac{3.1416}{16})

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Area of Hexadecagon given Diagonal across Five Sides Solution

Follow our step by step solution on how to calculate Area of Hexadecagon given Diagonal across Five Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 4 \cdot {(21m \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{5 \cdot π}{16})})}^{2} \cdot \cot (\frac{π}{16})

Next Step Substitute values of Constants

∴

A = 4 \cdot {(21m \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})})}^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Prepare to Evaluate

∴

A = 4 \cdot {(21 \cdot \frac{\sin (\frac{3.1416}{16})}{\sin (\frac{5 \cdot 3.1416}{16})})}^{2} \cdot \cot (\frac{3.1416}{16})

Next Step Evaluate

∴

A = 488.21990550457m²

LAST Step Rounding Answer

∴

A = 488.2199m²

Area of Hexadecagon given Diagonal across Five Sides 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

Diagonal across Five Sides of Hexadecagon

Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Five Sides 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Diagonal across Eight Sides

A = 4 \cdot {(d 8 \cdot \sin (\frac{π}{16}))}^{2} \cdot \cot (\frac{π}{16})

Go Area of Hexadecagon given Diagonal across Seven Sides

A = 4 \cdot {(d 7 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{7 \cdot π}{16})})}^{2} \cdot \cot (\frac{π}{16})

Go Area of Hexadecagon given Diagonal across Six Sides

A = 4 \cdot {(d 6 \cdot \frac{\sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})})}^{2} \cdot \cot (\frac{π}{16})

How to Evaluate Area of Hexadecagon given Diagonal across Five Sides?

Area of Hexadecagon given Diagonal across Five Sides evaluator uses Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16) to evaluate the Area of Hexadecagon, The Area of Hexadecagon given Diagonal across Five Sides formula is defined as the amount or quantity of space occupied by a Hexadecagon in the plane, calculated using a diagonal across five sides. Area of Hexadecagon is denoted by A symbol.

How to evaluate Area of Hexadecagon given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Area of Hexadecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hexadecagon (d₅) and hit the calculate button.

FAQs on Area of Hexadecagon given Diagonal across Five Sides

What is the formula to find Area of Hexadecagon given Diagonal across Five Sides?

The formula of Area of Hexadecagon given Diagonal across Five Sides is expressed as Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16). Here is an example- 488.2199 = 4*(21*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16).

How to calculate Area of Hexadecagon given Diagonal across Five Sides?

With Diagonal across Five Sides of Hexadecagon (d₅) we can find Area of Hexadecagon given Diagonal across Five Sides using the formula - Area of Hexadecagon = 4*(Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16))^2*cot(pi/16). This formula also uses Archimedes' constant and , Sine (sin), 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*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16)
Area of Hexadecagon=4*(Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16))^2*cot(pi/16)

Can the Area of Hexadecagon given Diagonal across Five Sides be negative?

No, the Area of Hexadecagon given Diagonal across Five Sides, measured in Area cannot be negative.

Which unit is used to measure Area of Hexadecagon given Diagonal across Five Sides?

Area of Hexadecagon given Diagonal across Five Sides 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 Diagonal across Five Sides can be measured.

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