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Side of Decagon given Width Formula

GoSide of Decagon given Circumradius Formula

GoSide of Decagon given Area Formula

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

S = w \cdot \sin (\frac{π}{10})

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

Side of Decagon given Width Example

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

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

Here is how the Side of Decagon given Width equation looks like.

9.8885 = 32 \cdot \sin (\frac{3.1416}{10})

9.8885m = 32m \cdot \sin (\frac{3.1416}{10})

9.8885 = 32 \cdot \sin (\frac{3.1416}{10})

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Side of Decagon given Width Solution

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

FIRST Step Consider the formula

S = w \cdot \sin (\frac{π}{10})

Next Step Substitute values of Variables

∴

S = 32m \cdot \sin (\frac{π}{10})

Next Step Substitute values of Constants

∴

S = 32m \cdot \sin (\frac{3.1416}{10})

Next Step Prepare to Evaluate

∴

S = 32 \cdot \sin (\frac{3.1416}{10})

Next Step Evaluate

∴

S = 9.88854381999832m

LAST Step Rounding Answer

∴

S = 9.8885m

Side of Decagon given Width Formula Elements

Variables

Constants

Functions

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

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

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 Side of Decagon

Go Side of Decagon given Circumradius

S = \frac{2 \cdot r c}{1 + \sqrt{5}}

Go Side of Decagon given Area

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

How to Evaluate Side of Decagon given Width?

Side of Decagon given Width evaluator uses Side of Decagon = Width of Decagon*sin(pi/10) to evaluate the Side of Decagon, The Side of Decagon given Width formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the width. Side of Decagon is denoted by S symbol.

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

FAQs on Side of Decagon given Width

What is the formula to find Side of Decagon given Width?

The formula of Side of Decagon given Width is expressed as Side of Decagon = Width of Decagon*sin(pi/10). Here is an example- 9.888544 = 32*sin(pi/10).

How to calculate Side of Decagon given Width?

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

What are the other ways to Calculate Side of Decagon?

Here are the different ways to Calculate Side of Decagon-

Side of Decagon=(2*Circumradius of Decagon)/(1+sqrt(5))
Side of Decagon=sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Can the Side of Decagon given Width be negative?

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

Which unit is used to measure Side of Decagon given Width?

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

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