Edge Length of Octagon given Area Calculator

✖The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.ⓘ Area of Octagon [A]

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

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Edge Length of Octagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octagon = sqrt((sqrt(2)-1)*(Area of Octagon/2))
l_e = sqrt((sqrt(2)-1)*(A/2))
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.
Area of Octagon - (Measured in Square Meter) - The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Area of Octagon: 480 Square Meter --> 480 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt((sqrt(2)-1)*(A/2)) --> sqrt((sqrt(2)-1)*(480/2))

Evaluating ... ...

l_e = 9.9705192928725

STEP 3: Convert Result to Output's Unit

9.9705192928725 Meter --> No Conversion Required

FINAL ANSWER

9.9705192928725 ≈ 9.970519 Meter <-- Edge Length of Octagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< Edge Length of Octagon Calculators

Edge Length of Octagon given Short Diagonal

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

Edge Length of Octagon given Long Diagonal

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

Edge Length of Octagon given Area

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

Edge Length of Octagon given Medium Diagonal

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

< Edge Length of Octagon Calculators

Edge Length of Octagon given Long Diagonal

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

Edge Length of Octagon given Circumradius

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

Edge Length of Octagon given Area

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

Edge Length of Octagon given Height

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

Edge Length of Octagon given Area Formula

LaTeX Go

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

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 Area?

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

How to calculate Edge Length of Octagon given Area using this online calculator? To use this online calculator for Edge Length of Octagon given Area, enter Area of Octagon (A) and hit the calculate button. Here is how the Edge Length of Octagon given Area calculation can be explained with given input values -> 9.970519 = sqrt((sqrt(2)-1)*(480/2)).

FAQ

What is Edge Length of Octagon given Area?

The Edge Length of Octagon given Area formula is defined as the length of any edge of the Regular Octagon and calculated using the area of the Octagon and is represented as l_e = sqrt((sqrt(2)-1)*(A/2)) or Edge Length of Octagon = sqrt((sqrt(2)-1)*(Area of Octagon/2)). The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

How to calculate Edge Length of Octagon given Area?

The Edge Length of Octagon given Area formula is defined as the length of any edge of the Regular Octagon and calculated using the area of the Octagon is calculated using Edge Length of Octagon = sqrt((sqrt(2)-1)*(Area of Octagon/2)). To calculate Edge Length of Octagon given Area, you need Area of Octagon (A). With our tool, you need to enter the respective value for Area 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 Area of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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