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Width of Decagon Formula

GoWidth of Decagon given Area Formula

GoWidth of Decagon given Diagonal across Five Sides Formula

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Width of Decagon is the measurement or extent of Decagon from side to side. Check FAQs

w = \frac{S}{\sin (\frac{π}{10})}

w - Width of Decagon?S - Side of Decagon?π - Archimedes' constant?

Width of Decagon Example

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Here is how the Width of Decagon equation looks like with Values.

Here is how the Width of Decagon equation looks like with Units.

Here is how the Width of Decagon equation looks like.

32.3607 = \frac{10}{\sin (\frac{3.1416}{10})}

32.3607m = \frac{10m}{\sin (\frac{3.1416}{10})}

32.3607 = \frac{10}{\sin (\frac{3.1416}{10})}

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Width of Decagon Solution

Follow our step by step solution on how to calculate Width of Decagon?

FIRST Step Consider the formula

w = \frac{S}{\sin (\frac{π}{10})}

Next Step Substitute values of Variables

∴

w = \frac{10m}{\sin (\frac{π}{10})}

Next Step Substitute values of Constants

∴

w = \frac{10m}{\sin (\frac{3.1416}{10})}

Next Step Prepare to Evaluate

∴

w = \frac{10}{\sin (\frac{3.1416}{10})}

Next Step Evaluate

∴

w = 32.3606797749979m

LAST Step Rounding Answer

∴

w = 32.3607m

Width of Decagon Formula Elements

Variables

Constants

Functions

Width of Decagon

Width of Decagon is the measurement or extent of Decagon from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Decagon

Side of Decagon

Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Decagon

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)

Other Formulas to find Width of Decagon

Go Width of Decagon given Area

w = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Go Width of Decagon given Diagonal across Five Sides

w = 1 \cdot d 5

How to Evaluate Width of Decagon?

Width of Decagon evaluator uses Width of Decagon = Side of Decagon/sin(pi/10) to evaluate the Width of Decagon, The Width of Decagon given side length formula is defined as the measurement or extent of Decagon from side to side. Width of Decagon is denoted by w symbol.

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

FAQs on Width of Decagon

What is the formula to find Width of Decagon?

The formula of Width of Decagon is expressed as Width of Decagon = Side of Decagon/sin(pi/10). Here is an example- 32.36068 = 10/sin(pi/10).

How to calculate Width of Decagon?

With Side of Decagon (S) we can find Width of Decagon using the formula - Width of Decagon = Side of Decagon/sin(pi/10). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Width of Decagon?

Here are the different ways to Calculate Width of Decagon-

Width of Decagon=(1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Width of Decagon=1*Diagonal across Five Sides of Decagon

Can the Width of Decagon be negative?

No, the Width of Decagon, measured in Length cannot be negative.

Which unit is used to measure Width of Decagon?

Width of Decagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Decagon can be measured.

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