Width of Octagon given Perimeter Calculator

✖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 Perimeter [w]

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Formula

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Width of Octagon given Perimeter

Formula

`"w" = (sqrt(2)+1)*"P"/8`

Example

`"24.14214m"=(sqrt(2)+1)*"80m"/8`

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Width of Octagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8
w = (sqrt(2)+1)*P/8
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.
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

w = (sqrt(2)+1)*P/8 --> (sqrt(2)+1)*80/8

Evaluating ... ...

w = 24.142135623731

STEP 3: Convert Result to Output's Unit

24.142135623731 Meter --> No Conversion Required

FINAL ANSWER

24.142135623731 ≈ 24.14214 Meter <-- Width of Octagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< 5 Width of Octagon Calculators

Width of Octagon given Circumradius

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

Width of Octagon given Perimeter

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

Width of Octagon

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

Width of Octagon given Medium Diagonal

Go Width of Octagon = 1*Medium Diagonal of Octagon

Width of Octagon given Inradius

Go Width of Octagon = 2*Inradius of Octagon

< 4 Width of Octagon Calculators

Width of Octagon given Circumradius

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

Width of Octagon given Perimeter

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

Width of Octagon

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

Width of Octagon given Medium Diagonal

Go Width of Octagon = 1*Medium Diagonal of Octagon

Width of Octagon given Perimeter Formula

Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8
w = (sqrt(2)+1)*P/8

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 Perimeter?

Width of Octagon given Perimeter calculator uses Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8 to calculate the Width of Octagon, The Width of Octagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using perimeter. Width of Octagon is denoted by w symbol.

How to calculate Width of Octagon given Perimeter using this online calculator? To use this online calculator for Width of Octagon given Perimeter, enter Perimeter of Octagon (P) and hit the calculate button. Here is how the Width of Octagon given Perimeter calculation can be explained with given input values -> 24.14214 = (sqrt(2)+1)*80/8.

FAQ

What is Width of Octagon given Perimeter?

The Width of Octagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using perimeter and is represented as w = (sqrt(2)+1)*P/8 or Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8. The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

How to calculate Width of Octagon given Perimeter?

The Width of Octagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using perimeter is calculated using Width of Octagon = (sqrt(2)+1)*Perimeter of Octagon/8. To calculate Width 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 Width of Octagon?

In this formula, Width of Octagon uses Perimeter of Octagon. We can use 7 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
Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon
Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon
Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon
Width of Octagon = 1*Medium Diagonal of Octagon

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