Circumradius of Octagon Calculator

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

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✖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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Circumradius of Octagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
r_c = sqrt(1+(1/sqrt(2)))*l_e
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

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.
Edge Length of Octagon - (Measured in Meter) - The Edge Length of Octagon is the length of any edge of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Octagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(1+(1/sqrt(2)))*l_e --> sqrt(1+(1/sqrt(2)))*10

Evaluating ... ...

r_c = 13.0656296487638

STEP 3: Convert Result to Output's Unit

13.0656296487638 Meter --> No Conversion Required

FINAL ANSWER

13.0656296487638 ≈ 13.06563 Meter <-- Circumradius of Octagon

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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< Circumradius of Octagon Calculators

Circumradius of Octagon given Medium Diagonal

LaTeX Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon

Circumradius of Octagon

LaTeX Go Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon

Circumradius of Octagon given Short Diagonal

LaTeX Go Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2))

Circumradius of Octagon given Long Diagonal

LaTeX Go Circumradius of Octagon = Long Diagonal of Octagon/2

< Radius of Octagon Calculators

Circumradius of Octagon

LaTeX Go Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon

Inradius of Octagon

LaTeX Go Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon

Inradius of Octagon given Height

LaTeX Go Inradius of Octagon = Height of Octagon/2

Inradius of Octagon given Width

LaTeX Go Inradius of Octagon = Width of Octagon/2

Circumradius of Octagon Formula

LaTeX Go

Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
r_c = sqrt(1+(1/sqrt(2)))*l_e

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 Circumradius of Octagon?

Circumradius of Octagon calculator uses Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon to calculate the Circumradius of Octagon, The Circumradius of octagon formula is defined as 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 is denoted by r_c symbol.

How to calculate Circumradius of Octagon using this online calculator? To use this online calculator for Circumradius of Octagon, enter Edge Length of Octagon (l_e) and hit the calculate button. Here is how the Circumradius of Octagon calculation can be explained with given input values -> 13.06563 = sqrt(1+(1/sqrt(2)))*10.

FAQ

What is Circumradius of Octagon?

The Circumradius of octagon formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle and is represented as r_c = sqrt(1+(1/sqrt(2)))*l_e or Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon. The Edge Length of Octagon is the length of any edge of the Regular Octagon.

How to calculate Circumradius of Octagon?

The Circumradius of octagon formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle is calculated using Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon. To calculate Circumradius of Octagon, you need Edge Length of Octagon (l_e). With our tool, you need to enter the respective value for Edge Length 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 Circumradius of Octagon?

In this formula, Circumradius of Octagon uses Edge Length of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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