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Width of Decagon given Height 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{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

w - Width of Decagon?h - Height of Decagon?

Width of Decagon given Height Example

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

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

Here is how the Width of Decagon given Height 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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Width of Decagon given Height Solution

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

FIRST Step Consider the formula

w = (1 + \sqrt{5}) \cdot \frac{h}{\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 Height 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

Height of Decagon

Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

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

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

FAQs on Width of Decagon given Height

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

The formula of Width of Decagon given Height is expressed as Width of Decagon = (1+sqrt(5))*Height 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 Height?

With Height of Decagon (h) we can find Width of Decagon given Height using the formula - Width of Decagon = (1+sqrt(5))*Height 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 Height be negative?

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

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

Width of Decagon given Height 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 Height can be measured.

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