Circumradius of Octagon given Medium Diagonal Calculator

✖The Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.ⓘ Medium Diagonal of Octagon [d_Medium]

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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 Medium Diagonal [r_c]

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Circumradius of Octagon given Medium Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon
r_c = sqrt(1-(1/sqrt(2)))*d_Medium
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.
Medium Diagonal of Octagon - (Measured in Meter) - The Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Medium Diagonal of Octagon: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(1-(1/sqrt(2)))*d_Medium --> sqrt(1-(1/sqrt(2)))*24

Evaluating ... ...

r_c = 12.9887064035087

STEP 3: Convert Result to Output's Unit

12.9887064035087 Meter --> No Conversion Required

FINAL ANSWER

12.9887064035087 ≈ 12.98871 Meter <-- Circumradius of Octagon

(Calculation completed in 00.004 seconds)

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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

Circumradius of Octagon given Medium Diagonal Formula

LaTeX Go

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

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 Medium Diagonal?

Circumradius of Octagon given Medium Diagonal calculator uses Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon to calculate the Circumradius of Octagon, The Circumradius of Octagon given Medium 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 medium diagonal of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

How to calculate Circumradius of Octagon given Medium Diagonal using this online calculator? To use this online calculator for Circumradius of Octagon given Medium Diagonal, enter Medium Diagonal of Octagon (d_Medium) and hit the calculate button. Here is how the Circumradius of Octagon given Medium Diagonal calculation can be explained with given input values -> 12.98871 = sqrt(1-(1/sqrt(2)))*24.

FAQ

What is Circumradius of Octagon given Medium Diagonal?

The Circumradius of Octagon given Medium 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 medium diagonal of the Octagon and is represented as r_c = sqrt(1-(1/sqrt(2)))*d_Medium or Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon. The Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.

How to calculate Circumradius of Octagon given Medium Diagonal?

The Circumradius of Octagon given Medium 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 medium diagonal of the Octagon is calculated using Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon. To calculate Circumradius of Octagon given Medium Diagonal, you need Medium Diagonal of Octagon (d_Medium). With our tool, you need to enter the respective value for Medium 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 Medium Diagonal of Octagon. We can use 3 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 = Long Diagonal of Octagon/2
Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2))

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