Edge Length of Octagon given Short Diagonal Calculator

✖The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.ⓘ Short Diagonal of Octagon [d_Short]

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

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Formula

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Edge Length of Octagon given Short Diagonal

Formula

`"l"_{"e"} = sqrt(1-(1/sqrt(2)))*"d"_{"Short"}`

Example

`"9.74153m"=sqrt(1-(1/sqrt(2)))*"18m"`

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Edge Length of Octagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon
l_e = sqrt(1-(1/sqrt(2)))*d_Short
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.
Short Diagonal of Octagon - (Measured in Meter) - The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Octagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(1-(1/sqrt(2)))*d_Short --> sqrt(1-(1/sqrt(2)))*18

Evaluating ... ...

l_e = 9.74152980263155

STEP 3: Convert Result to Output's Unit

9.74152980263155 Meter --> No Conversion Required

FINAL ANSWER

9.74152980263155 ≈ 9.74153 Meter <-- Edge Length of Octagon

(Calculation completed in 00.004 seconds)

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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

Edge Length of Octagon given Short Diagonal Formula

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

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 Short Diagonal?

Edge Length of Octagon given Short Diagonal calculator uses Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon to calculate the Edge Length of Octagon, The Edge Length of Octagon given Short Diagonal formula is defined as the length of any edge of the Regular Octagon and calculated using the short diagonal of the Octagon. Edge Length of Octagon is denoted by l_e symbol.

How to calculate Edge Length of Octagon given Short Diagonal using this online calculator? To use this online calculator for Edge Length of Octagon given Short Diagonal, enter Short Diagonal of Octagon (d_Short) and hit the calculate button. Here is how the Edge Length of Octagon given Short Diagonal calculation can be explained with given input values -> 9.74153 = sqrt(1-(1/sqrt(2)))*18.

FAQ

What is Edge Length of Octagon given Short Diagonal?

The Edge Length of Octagon given Short Diagonal formula is defined as the length of any edge of the Regular Octagon and calculated using the short diagonal of the Octagon and is represented as l_e = sqrt(1-(1/sqrt(2)))*d_Short or Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon. The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

How to calculate Edge Length of Octagon given Short Diagonal?

The Edge Length of Octagon given Short Diagonal formula is defined as the length of any edge of the Regular Octagon and calculated using the short diagonal of the Octagon is calculated using Edge Length of Octagon = sqrt(1-(1/sqrt(2)))*Short Diagonal of Octagon. To calculate Edge Length of Octagon given Short Diagonal, you need Short Diagonal of Octagon (d_Short). With our tool, you need to enter the respective value for Short 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 Short Diagonal of Octagon. We can use 7 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-sqrt(2))/2)*Long Diagonal of Octagon
Edge Length of Octagon = (sqrt(2)-1)*Medium 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

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