Circumradius of Octagon given Height Calculator

✖The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.ⓘ Height of Octagon [h]

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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 Height [r_c]

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Circumradius of Octagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
r_c = sqrt(1-(1/sqrt(2)))*h
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.
Height of Octagon - (Measured in Meter) - The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Height 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)))*h --> 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 00.020 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

< 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 given Height Formula

LaTeX Go

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

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 Height?

Circumradius of Octagon given Height calculator uses Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon to calculate the Circumradius of Octagon, The Circumradius of Octagon given Height 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 calculated using height of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQ

What is Circumradius of Octagon given Height?

The Circumradius of Octagon given Height 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 calculated using height of the Octagon and is represented as r_c = sqrt(1-(1/sqrt(2)))*h or Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon. The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

How to calculate Circumradius of Octagon given Height?

The Circumradius of Octagon given Height 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 calculated using height of the Octagon is calculated using Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon. To calculate Circumradius of Octagon given Height, you need Height of Octagon (h). With our tool, you need to enter the respective value for Height 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 Height 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 = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon

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