Circumradius of Octagon given Perimeter Calculator

✖The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.ⓘ Perimeter of Octagon [P]

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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 Perimeter [r_c]

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Circumradius of Octagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16
r_c = sqrt(4+(2*sqrt(2)))*P/16
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.
Perimeter of Octagon - (Measured in Meter) - The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Octagon: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(4+(2*sqrt(2)))*P/16 --> sqrt(4+(2*sqrt(2)))*80/16

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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< 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 Perimeter Formula

LaTeX Go

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

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 Perimeter?

Circumradius of Octagon given Perimeter calculator uses Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16 to calculate the Circumradius of Octagon, The Circumradius of Octagon given Perimeter 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 perimeter of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

How to calculate Circumradius of Octagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Octagon given Perimeter, enter Perimeter of Octagon (P) and hit the calculate button. Here is how the Circumradius of Octagon given Perimeter calculation can be explained with given input values -> 13.06563 = sqrt(4+(2*sqrt(2)))*80/16.

FAQ

What is Circumradius of Octagon given Perimeter?

The Circumradius of Octagon given Perimeter 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 perimeter of the Octagon and is represented as r_c = sqrt(4+(2*sqrt(2)))*P/16 or Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16. The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

How to calculate Circumradius of Octagon given Perimeter?

The Circumradius of Octagon given Perimeter 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 perimeter of the Octagon is calculated using Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16. To calculate Circumradius of Octagon given Perimeter, you need Perimeter of Octagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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