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Width of Pentagon given Height Formula

GoWidth of Pentagon given Area Formula

GoWidth of Pentagon Formula

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Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon. Check FAQs

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

w - Width of Pentagon?h - Height of Pentagon?

Width of Pentagon given Height Example

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

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

Here is how the Width of Pentagon given Height equation looks like.

15.7719 = 15 \cdot \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

15.7719m = 15m \cdot \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

15.7719 = 15 \cdot \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Width of Pentagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = 15m \cdot \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

w = 15 \cdot \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

w = 15.771933363574m

LAST Step Rounding Answer

∴

w = 15.7719m

Width of Pentagon given Height Formula Elements

Variables

Functions

Width of Pentagon

Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Pentagon

Height of Pentagon

Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagon

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 Pentagon

Go Width of Pentagon given Area

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Width of Pentagon

w = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Width of Pentagon given Circumradius

w = \frac{1 + \sqrt{5}}{2} \cdot (r c \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

Go Width of Pentagon given Perimeter

w = P \cdot \frac{1 + \sqrt{5}}{10}

How to Evaluate Width of Pentagon given Height?

Width of Pentagon given Height evaluator uses Width of Pentagon = Height of Pentagon*(1+sqrt(5))/sqrt(5+(2*sqrt(5))) to evaluate the Width of Pentagon, The Width of Pentagon given Height formula is defined as the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal), calculated using height. Width of Pentagon is denoted by w symbol.

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

FAQs on Width of Pentagon given Height

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

The formula of Width of Pentagon given Height is expressed as Width of Pentagon = Height of Pentagon*(1+sqrt(5))/sqrt(5+(2*sqrt(5))). Here is an example- 15.77193 = 15*(1+sqrt(5))/sqrt(5+(2*sqrt(5))).

How to calculate Width of Pentagon given Height?

With Height of Pentagon (h) we can find Width of Pentagon given Height using the formula - Width of Pentagon = Height of Pentagon*(1+sqrt(5))/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Pentagon?

Here are the different ways to Calculate Width of Pentagon-

Width of Pentagon=(1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
Width of Pentagon=(1+sqrt(5))/2*Edge Length of Pentagon
Width of Pentagon=(1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))

Can the Width of Pentagon given Height be negative?

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

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

Width of Pentagon 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 Pentagon given Height can be measured.

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