Edge Length of Octagon given Circumradius Calculator

✖The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.ⓘ Circumradius of Octagon [r_c]

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

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Edge Length of Octagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon
l_e = (sqrt(2-sqrt(2)))*r_c
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.
Circumradius of Octagon - (Measured in Meter) - The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Octagon: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (sqrt(2-sqrt(2)))*r_c --> (sqrt(2-sqrt(2)))*13

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 00.004 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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< 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 Circumradius Formula

LaTeX Go

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

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 Circumradius?

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

How to calculate Edge Length of Octagon given Circumradius using this online calculator? To use this online calculator for Edge Length of Octagon given Circumradius, enter Circumradius of Octagon (r_c) and hit the calculate button. Here is how the Edge Length of Octagon given Circumradius calculation can be explained with given input values -> 9.949769 = (sqrt(2-sqrt(2)))*13.

FAQ

What is Edge Length of Octagon given Circumradius?

The Edge Length of Octagon given Circumradius formula is defined as the length of any edge of the Regular Octagon and calculated using the circumradius of the Octagon and is represented as l_e = (sqrt(2-sqrt(2)))*r_c or Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon. The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

How to calculate Edge Length of Octagon given Circumradius?

The Edge Length of Octagon given Circumradius formula is defined as the length of any edge of the Regular Octagon and calculated using the circumradius of the Octagon is calculated using Edge Length of Octagon = (sqrt(2-sqrt(2)))*Circumradius of Octagon. To calculate Edge Length of Octagon given Circumradius, you need Circumradius of Octagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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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