Width of Octagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon
w = (sqrt(2)+1)*le
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.
Edge Length of Octagon - (Measured in Meter) - The Edge Length of Octagon is the length of any edge of the Regular Octagon.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Octagon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = (sqrt(2)+1)*le --> (sqrt(2)+1)*10
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 00.008 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shashwati Tidke
Vishwakarma Institute of Technology (VIT), Pune
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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 Formula

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

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?

Width of Octagon calculator uses Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon to calculate the Width of Octagon, The Width of Octagon formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon. Width of Octagon is denoted by w symbol.

How to calculate Width of Octagon using this online calculator? To use this online calculator for Width of Octagon, enter Edge Length of Octagon (le) and hit the calculate button. Here is how the Width of Octagon calculation can be explained with given input values -> 24.14214 = (sqrt(2)+1)*10.

FAQ

What is Width of Octagon?
The Width of Octagon formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon and is represented as w = (sqrt(2)+1)*le or Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon. The Edge Length of Octagon is the length of any edge of the Regular Octagon.
How to calculate Width of Octagon?
The Width of Octagon formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon is calculated using Width of Octagon = (sqrt(2)+1)*Edge Length of Octagon. To calculate Width of Octagon, you need Edge Length of Octagon (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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 = 1*Medium Diagonal of Octagon
  • Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon
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