Circumradius of Octagon given Long Diagonal Calculator

✖The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.ⓘ Long Diagonal of Octagon [d_Long]

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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 given Long Diagonal [r_c]

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Formula

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Circumradius of Octagon given Long Diagonal

Formula

`"r"_{"c"} = "d"_{"Long"}/2`

Example

`"13m"="26m"/2`

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Circumradius of Octagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = Long Diagonal of Octagon/2
r_c = d_Long/2
This formula uses 2 Variables

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.
Long Diagonal of Octagon - (Measured in Meter) - The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Octagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d_Long/2 --> 26/2

Evaluating ... ...

r_c = 13

STEP 3: Convert Result to Output's Unit

13 Meter --> No Conversion Required

FINAL ANSWER

13 Meter <-- Circumradius 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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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 8 Circumradius of Octagon Calculators

Circumradius of Octagon given Medium Diagonal

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

Circumradius of Octagon given Perimeter

Go Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16

Circumradius of Octagon

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

Circumradius of Octagon given Inradius

Go Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon

Circumradius of Octagon given Height

Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon

Circumradius of Octagon given Area

Go Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))

Circumradius of Octagon given Short Diagonal

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

Circumradius of Octagon given Long Diagonal

Go Circumradius of Octagon = Long Diagonal of Octagon/2

Circumradius of Octagon given Long Diagonal Formula

Circumradius of Octagon = Long Diagonal of Octagon/2
r_c = d_Long/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 Circumradius of Octagon given Long Diagonal?

Circumradius of Octagon given Long Diagonal calculator uses Circumradius of Octagon = Long Diagonal of Octagon/2 to calculate the Circumradius of Octagon, The Circumradius of Octagon given Long Diagonal formula is defined as the radius of the circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lying on that circle and calculated using the long diagonal of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

How to calculate Circumradius of Octagon given Long Diagonal using this online calculator? To use this online calculator for Circumradius of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button. Here is how the Circumradius of Octagon given Long Diagonal calculation can be explained with given input values -> 13 = 26/2.

FAQ

What is Circumradius of Octagon given Long Diagonal?

The Circumradius of Octagon given Long Diagonal formula is defined as the radius of the circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lying on that circle and calculated using the long diagonal of the Octagon and is represented as r_c = d_Long/2 or Circumradius of Octagon = Long Diagonal of Octagon/2. The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

How to calculate Circumradius of Octagon given Long Diagonal?

The Circumradius of Octagon given Long Diagonal formula is defined as the radius of the circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lying on that circle and calculated using the long diagonal of the Octagon is calculated using Circumradius of Octagon = Long Diagonal of Octagon/2. To calculate Circumradius of Octagon given Long Diagonal, you need Long Diagonal of Octagon (d_Long). With our tool, you need to enter the respective value for Long 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 Circumradius of Octagon?

In this formula, Circumradius of Octagon uses Long Diagonal of Octagon. We can use 7 other way(s) to calculate the same, which is/are as follows -

Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon
Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2))
Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16
Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))
Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon

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