Width 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 Width of Octagon is the horizontal distance from the left most edge to the right most edge of the Regular Octagon.ⓘ Width of Octagon given Circumradius [w]

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Width of Octagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon
w = (sqrt(2)+1)*(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

Width of Octagon - (Measured in Meter) - The Width of Octagon is the horizontal distance from the left most edge to the right most 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

w = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*r_c --> (sqrt(2)+1)*(sqrt(2-sqrt(2)))*13

Evaluating ... ...

w = 24.0208678452935

STEP 3: Convert Result to Output's Unit

24.0208678452935 Meter --> No Conversion Required

FINAL ANSWER

24.0208678452935 ≈ 24.02087 Meter <-- Width of Octagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vellore Institute of Technology (VIT), Bhopal

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< Width of Octagon Calculators

Width of Octagon given Circumradius

LaTeX Go Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon

Width of Octagon

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

Width of Octagon given Medium Diagonal

LaTeX Go Width of Octagon = 1*Medium Diagonal of Octagon

Width of Octagon given Inradius

LaTeX Go Width of Octagon = 2*Inradius of Octagon

< Width of Octagon Calculators

Width of Octagon given Circumradius

LaTeX Go Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon

Width of Octagon given Perimeter

LaTeX Go Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8

Width of Octagon

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

Width of Octagon given Medium Diagonal

LaTeX Go Width of Octagon = 1*Medium Diagonal of Octagon

Width of Octagon given Circumradius Formula

LaTeX Go

Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon
w = (sqrt(2)+1)*(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 Width of Octagon given Circumradius?

Width of Octagon given Circumradius calculator uses Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon to calculate the Width of Octagon, Width of Octagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using circumradius. Width of Octagon is denoted by w symbol.

How to calculate Width of Octagon given Circumradius using this online calculator? To use this online calculator for Width of Octagon given Circumradius, enter Circumradius of Octagon (r_c) and hit the calculate button. Here is how the Width of Octagon given Circumradius calculation can be explained with given input values -> 24.02087 = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*13.

FAQ

What is Width of Octagon given Circumradius?

Width of Octagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using circumradius and is represented as w = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*r_c or Width of Octagon = (sqrt(2)+1)*(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 Width of Octagon given Circumradius?

Width of Octagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using circumradius is calculated using Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon. To calculate Width 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 Width of Octagon?

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

Width of Octagon = 2*Inradius of Octagon
Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon
Width of Octagon = 1*Medium Diagonal of Octagon

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