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Edge Length of Pentagon given Width Formula

GoEdge Length of Pentagon given Area and Inradius Formula

GoEdge Length of Pentagon given Height using Central Angle Formula

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The Edge Length of Pentagon is the length of one of the five sides of the Pentagon. Check FAQs

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

l_e - Edge Length of Pentagon?w - Width of Pentagon?

Edge Length of Pentagon given Width Example

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

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

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

9.8885 = 16 \cdot \frac{2}{1 + \sqrt{5}}

9.8885m = 16m \cdot \frac{2}{1 + \sqrt{5}}

9.8885 = 16 \cdot \frac{2}{1 + \sqrt{5}}

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Edge Length of Pentagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = 16m \cdot \frac{2}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = 16 \cdot \frac{2}{1 + \sqrt{5}}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Pentagon given Width Formula Elements

Variables

Functions

Edge Length of Pentagon

The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Pentagon

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

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 Edge Length of Pentagon

Go Edge Length of Pentagon given Area and Inradius

l e = \frac{2 \cdot A}{5 \cdot r i}

Go Edge Length of Pentagon given Height using Central Angle

l e = \frac{2 \cdot h \cdot \sin (\frac{π}{5})}{1 + \cos (\frac{π}{5})}

Go Edge Length of Pentagon given Inradius

l e = r i \cdot \frac{10}{\sqrt{25 + (10 \cdot \sqrt{5})}}

Go Edge Length of Pentagon given Area

l e = \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Edge Length of Pentagon given Width?

Edge Length of Pentagon given Width evaluator uses Edge Length of Pentagon = Width of Pentagon*2/(1+sqrt(5)) to evaluate the Edge Length of Pentagon, Edge Length of Pentagon given Width is defined as the length of the line connecting the two adjacent vertices of the Pentagon, calculated using width. Edge Length of Pentagon is denoted by l_e symbol.

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

FAQs on Edge Length of Pentagon given Width

What is the formula to find Edge Length of Pentagon given Width?

The formula of Edge Length of Pentagon given Width is expressed as Edge Length of Pentagon = Width of Pentagon*2/(1+sqrt(5)). Here is an example- 9.888544 = 16*2/(1+sqrt(5)).

How to calculate Edge Length of Pentagon given Width?

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

What are the other ways to Calculate Edge Length of Pentagon?

Here are the different ways to Calculate Edge Length of Pentagon-

Edge Length of Pentagon=(2*Area of Pentagon)/(5*Inradius of Pentagon)
Edge Length of Pentagon=(2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5))
Edge Length of Pentagon=Inradius of Pentagon*10/sqrt(25+(10*sqrt(5)))

Can the Edge Length of Pentagon given Width be negative?

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

Which unit is used to measure Edge Length of Pentagon given Width?

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

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