Inradius of Octagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Octagon = Width of Octagon/2
ri = w/2
This formula uses 2 Variables
Variables Used
Inradius of Octagon - (Measured in Meter) - The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Octagon: 24 Meter --> 24 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = w/2 --> 24/2
Evaluating ... ...
ri = 12
STEP 3: Convert Result to Output's Unit
12 Meter --> No Conversion Required
FINAL ANSWER
12 Meter <-- Inradius of Octagon
(Calculation completed in 00.004 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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9 Inradius of Octagon Calculators

Inradius of Octagon given Long Diagonal
Go Inradius of Octagon = ((sqrt(2+sqrt(2)))/4)*Long Diagonal of Octagon
Inradius of Octagon given Short Diagonal
Go Inradius of Octagon = sqrt((2+sqrt(2))/8)*Short Diagonal of Octagon
Inradius of Octagon given Circumradius
Go Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius of Octagon
Inradius of Octagon given Area
Go Inradius of Octagon = sqrt(((1+sqrt(2))/8)*Area of Octagon)
Inradius of Octagon
Go Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon
Inradius of Octagon given Perimeter
Go Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16
Inradius of Octagon given Medium Diagonal
Go Inradius of Octagon = Medium Diagonal of Octagon/2
Inradius of Octagon given Height
Go Inradius of Octagon = Height of Octagon/2
Inradius of Octagon given Width
Go Inradius of Octagon = Width of Octagon/2

5 Radius of Octagon Calculators

Circumradius of Octagon
Go Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
Circumradius of Octagon given Height
Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
Inradius of Octagon
Go Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon
Inradius of Octagon given Height
Go Inradius of Octagon = Height of Octagon/2
Inradius of Octagon given Width
Go Inradius of Octagon = Width of Octagon/2

Inradius of Octagon given Width Formula

Inradius of Octagon = Width of Octagon/2
ri = w/2

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 Inradius of Octagon given Width?

Inradius of Octagon given Width calculator uses Inradius of Octagon = Width of Octagon/2 to calculate the Inradius of Octagon, The Inradius of Octagon given Width formula is defined as the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touching the circle and calculated using the width of the Octagon. Inradius of Octagon is denoted by ri symbol.

How to calculate Inradius of Octagon given Width using this online calculator? To use this online calculator for Inradius of Octagon given Width, enter Width of Octagon (w) and hit the calculate button. Here is how the Inradius of Octagon given Width calculation can be explained with given input values -> 12 = 24/2.

FAQ

What is Inradius of Octagon given Width?
The Inradius of Octagon given Width formula is defined as the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touching the circle and calculated using the width of the Octagon and is represented as ri = w/2 or Inradius of Octagon = Width of Octagon/2. The Width of Octagon is the horizontal distance from the left most edge to the right most edge of the Regular Octagon.
How to calculate Inradius of Octagon given Width?
The Inradius of Octagon given Width formula is defined as the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touching the circle and calculated using the width of the Octagon is calculated using Inradius of Octagon = Width of Octagon/2. To calculate Inradius of Octagon given Width, you need Width of Octagon (w). With our tool, you need to enter the respective value for Width 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 Inradius of Octagon?
In this formula, Inradius of Octagon uses Width of Octagon. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon
  • Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius of Octagon
  • Inradius of Octagon = ((sqrt(2+sqrt(2)))/4)*Long Diagonal of Octagon
  • Inradius of Octagon = Medium Diagonal of Octagon/2
  • Inradius of Octagon = sqrt((2+sqrt(2))/8)*Short Diagonal of Octagon
  • Inradius of Octagon = Height of Octagon/2
  • Inradius of Octagon = (1+sqrt(2))*Perimeter of Octagon/16
  • Inradius of Octagon = sqrt(((1+sqrt(2))/8)*Area of Octagon)
  • Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon
  • Inradius of Octagon = Height of Octagon/2
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