Edge Length of Octagon given Inradius Calculator

✖The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.ⓘ Inradius of Octagon [r_i]

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

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Edge Length of Octagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon
l_e = 2*(sqrt(2)-1)*r_i
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.
Inradius of Octagon - (Measured in Meter) - The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Octagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = 2*(sqrt(2)-1)*r_i --> 2*(sqrt(2)-1)*12

Evaluating ... ...

l_e = 9.94112549695428

STEP 3: Convert Result to Output's Unit

9.94112549695428 Meter --> No Conversion Required

FINAL ANSWER

9.94112549695428 ≈ 9.941125 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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< 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 given Inradius Formula

LaTeX Go

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

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 Inradius?

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

How to calculate Edge Length of Octagon given Inradius using this online calculator? To use this online calculator for Edge Length of Octagon given Inradius, enter Inradius of Octagon (r_i) and hit the calculate button. Here is how the Edge Length of Octagon given Inradius calculation can be explained with given input values -> 9.941125 = 2*(sqrt(2)-1)*12.

FAQ

What is Edge Length of Octagon given Inradius?

The Edge Length of Octagon given Inradius formula is defined as the length of any edge of the Regular Octagon and calculated using the inradius of the Octagon and is represented as l_e = 2*(sqrt(2)-1)*r_i or Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon. The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

How to calculate Edge Length of Octagon given Inradius?

The Edge Length of Octagon given Inradius formula is defined as the length of any edge of the Regular Octagon and calculated using the inradius of the Octagon is calculated using Edge Length of Octagon = 2*(sqrt(2)-1)*Inradius of Octagon. To calculate Edge Length of Octagon given Inradius, you need Inradius of Octagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Octagon. We can use 3 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

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