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Edge Length of Octagon given Long Diagonal Formula

GoEdge Length of Octagon given Area Formula

GoEdge Length of Octagon given Circumradius Formula

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The Edge Length of Octagon is the length of any edge of the Regular Octagon. Check FAQs

l e = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot d Long

l_e - Edge Length of Octagon?d_Long - Long Diagonal of Octagon?

Edge Length of Octagon given Long Diagonal Example

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Here is how the Edge Length of Octagon given Long Diagonal equation looks like with Values.

Here is how the Edge Length of Octagon given Long Diagonal equation looks like with Units.

Here is how the Edge Length of Octagon given Long Diagonal equation looks like.

9.9498 = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot 26

9.9498m = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot 26m

9.9498 = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot 26

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Edge Length of Octagon given Long Diagonal Solution

Follow our step by step solution on how to calculate Edge Length of Octagon given Long Diagonal?

FIRST Step Consider the formula

l e = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot d Long

Next Step Substitute values of Variables

∴

l e = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot 26m

Next Step Prepare to Evaluate

∴

l e = (\frac{\sqrt{2 - \sqrt{2}}}{2}) \cdot 26

Next Step Evaluate

∴

l e = 9.94976924149233m

LAST Step Rounding Answer

∴

l e = 9.9498m

Edge Length of Octagon given Long Diagonal Formula Elements

Variables

Functions

Edge Length of Octagon

The Edge Length of Octagon is the length of any edge of the Regular Octagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octagon

Long Diagonal of Octagon

The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Octagon

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 Octagon

Go Edge Length of Octagon given Area

l e = \sqrt{(\sqrt{2} - 1) \cdot (\frac{A}{2})}

Go Edge Length of Octagon given Circumradius

l e = (\sqrt{2 - \sqrt{2}}) \cdot r c

Go Edge Length of Octagon given Height

l e = (\sqrt{2} - 1) \cdot h

How to Evaluate Edge Length of Octagon given Long Diagonal?

Edge Length of Octagon given Long Diagonal evaluator uses Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon to evaluate the Edge Length of Octagon, The Edge Length of Octagon given Long Diagonal formula is defined as the length of any edge of the Regular Octagon and calculated using the long diagonal of the Octagon. Edge Length of Octagon is denoted by l_e symbol.

How to evaluate Edge Length of Octagon given Long Diagonal using this online evaluator? To use this online evaluator for Edge Length of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button.

FAQs on Edge Length of Octagon given Long Diagonal

What is the formula to find Edge Length of Octagon given Long Diagonal?

The formula of Edge Length of Octagon given Long Diagonal is expressed as Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon. Here is an example- 9.949769 = (sqrt(2-sqrt(2))/2)*26.

How to calculate Edge Length of Octagon given Long Diagonal?

With Long Diagonal of Octagon (d_Long) we can find Edge Length of Octagon given Long Diagonal using the formula - Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon. This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Octagon=sqrt((sqrt(2)-1)*(Area of Octagon/2))
Edge Length of Octagon=(sqrt(2-sqrt(2)))*Circumradius of Octagon
Edge Length of Octagon=(sqrt(2)-1)*Height of Octagon

Can the Edge Length of Octagon given Long Diagonal be negative?

No, the Edge Length of Octagon given Long Diagonal, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Octagon given Long Diagonal?

Edge Length of Octagon given Long Diagonal 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 Octagon given Long Diagonal can be measured.

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