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Width of Decagon given Diagonal across Four Sides Formula

GoWidth of Decagon given Circumradius Formula

GoWidth of Decagon Formula

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

w = (1 + \sqrt{5}) \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

w - Width of Decagon?d₄ - Diagonal across Four Sides of Decagon?

Width of Decagon given Diagonal across Four Sides Example

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Here is how the Width of Decagon given Diagonal across Four Sides equation looks like with Values.

Here is how the Width of Decagon given Diagonal across Four Sides equation looks like with Units.

Here is how the Width of Decagon given Diagonal across Four Sides equation looks like.

32.5953 = (1 + \sqrt{5}) \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

32.5953m = (1 + \sqrt{5}) \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

32.5953 = (1 + \sqrt{5}) \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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2D Geometry » fx Width of Decagon given Diagonal across Four Sides

Width of Decagon given Diagonal across Four Sides Solution

Follow our step by step solution on how to calculate Width of Decagon given Diagonal across Four Sides?

FIRST Step Consider the formula

w = (1 + \sqrt{5}) \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

w = (1 + \sqrt{5}) \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

w = (1 + \sqrt{5}) \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

w = 32.5953289513863m

LAST Step Rounding Answer

∴

w = 32.5953m

Width of Decagon given Diagonal across Four Sides Formula Elements

Variables

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

Diagonal across Four Sides of Decagon

Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides of Decagon

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Width of Decagon

Go Width of Decagon given Circumradius

w = 2 \cdot r c

Go Width of Decagon

w = \frac{S}{\sin (\frac{π}{10})}

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 Inradius

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

How to Evaluate Width of Decagon given Diagonal across Four Sides?

Width of Decagon given Diagonal across Four Sides evaluator uses Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))) to evaluate the Width of Decagon, The Width of Decagon given Diagonal across Four Sides formula is defined as the measurement or extent of the Decagon from side to side, calculated using the diagonal across four sides. Width of Decagon is denoted by w symbol.

How to evaluate Width of Decagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Width of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button.

FAQs on Width of Decagon given Diagonal across Four Sides

What is the formula to find Width of Decagon given Diagonal across Four Sides?

The formula of Width of Decagon given Diagonal across Four Sides is expressed as Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Here is an example- 32.59533 = (1+sqrt(5))*31/sqrt(5+(2*sqrt(5))).

How to calculate Width of Decagon given Diagonal across Four Sides?

With Diagonal across Four Sides of Decagon (d₄) we can find Width of Decagon given Diagonal across Four Sides using the formula - Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) 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=2*Circumradius of Decagon
Width of Decagon=Side of Decagon/sin(pi/10)
Width of Decagon=(1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Can the Width of Decagon given Diagonal across Four Sides be negative?

No, the Width of Decagon given Diagonal across Four Sides, measured in Length cannot be negative.

Which unit is used to measure Width of Decagon given Diagonal across Four Sides?

Width of Decagon given Diagonal across Four Sides 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 given Diagonal across Four Sides can be measured.

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