Edge Length of Octagon given Long Diagonal Calculator

✖The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.ⓘ Long Diagonal of Octagon [d_Long]

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✖The Edge Length of Octagon is the length of any edge of the Regular Octagon.ⓘ Edge Length of Octagon given Long Diagonal [l_e]

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Formula

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Edge Length of Octagon given Long Diagonal

Formula

`"l"_{"e"} = (sqrt(2-sqrt(2))/2)*"d"_{"Long"}`

Example

`"9.949769m"=(sqrt(2-sqrt(2))/2)*"26m"`

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Edge Length of Octagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon
l_e = (sqrt(2-sqrt(2))/2)*d_Long
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Octagon - (Measured in Meter) - The Edge Length of Octagon is the length of any edge of the Regular Octagon.
Long Diagonal of Octagon - (Measured in Meter) - The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Octagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (sqrt(2-sqrt(2))/2)*d_Long --> (sqrt(2-sqrt(2))/2)*26

Evaluating ... ...

l_e = 9.94976924149233

STEP 3: Convert Result to Output's Unit

9.94976924149233 Meter --> No Conversion Required

FINAL ANSWER

9.94976924149233 ≈ 9.949769 Meter <-- Edge Length of Octagon

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 8 Edge Length of Octagon Calculators

Edge Length of Octagon given Short Diagonal

Go Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon

Edge Length of Octagon given Long Diagonal

Go Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon

Edge Length of Octagon given Circumradius

Go Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon

Edge Length of Octagon given Area

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

Edge Length of Octagon given Medium Diagonal

Go Edge Length of Octagon = (sqrt(2)-1)*Medium Diagonal of Octagon

Edge Length of Octagon given Inradius

Go Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon

Edge Length of Octagon given Height

Go Edge Length of Octagon = (sqrt(2)-1)*Height of Octagon

Edge Length of Octagon given Perimeter

Go Edge Length of Octagon = Perimeter of Octagon/8

< 4 Edge Length of Octagon Calculators

Edge Length of Octagon given Long Diagonal

Go Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon

Edge Length of Octagon given Circumradius

Go Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon

Edge Length of Octagon given Area

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

Edge Length of Octagon given Height

Go Edge Length of Octagon = (sqrt(2)-1)*Height of Octagon

Edge Length of Octagon given Long Diagonal Formula

Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon
l_e = (sqrt(2-sqrt(2))/2)*d_Long

What is an Octagon?

Octagon is a polygon in geometry, which has 8 sides and 8 angles. That means the number of vertices is 8 and the number of edges is 8. All the sides are joined with each other end-to-end to form a shape. These sides are in a straight line form; they are not curved or disjoint with each other. Each interior angle of a regular octagon is 135° and each exterior angle will be 45°.

How to Calculate Edge Length of Octagon given Long Diagonal?

Edge Length of Octagon given Long Diagonal calculator uses Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon to calculate 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 calculate Edge Length of Octagon given Long Diagonal using this online calculator? To use this online calculator for Edge Length of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button. Here is how the Edge Length of Octagon given Long Diagonal calculation can be explained with given input values -> 9.949769 = (sqrt(2-sqrt(2))/2)*26.

FAQ

What is Edge Length of Octagon given Long Diagonal?

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 and is represented as l_e = (sqrt(2-sqrt(2))/2)*d_Long or Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*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.

How to calculate Edge Length of Octagon given Long Diagonal?

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 is calculated using Edge Length of Octagon = (sqrt(2-sqrt(2))/2)*Long Diagonal of Octagon. To calculate Edge Length of Octagon given Long Diagonal, you need Long Diagonal of Octagon (d_Long). With our tool, you need to enter the respective value for Long Diagonal of Octagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Octagon?

In this formula, Edge Length of Octagon uses Long Diagonal of Octagon. We can use 10 other way(s) to calculate the same, which is/are as follows -

Edge Length of Octagon = sqrt((sqrt(2)-1)*(Area of Octagon/2))
Edge Length of Octagon = (sqrt(2)-1)*Medium Diagonal of Octagon
Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon
Edge Length of Octagon = Perimeter of Octagon/8
Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon
Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon
Edge Length of Octagon = (sqrt(2)-1)*Height 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

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