Short Diagonal of Octagon given Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon
dShort = 2*sqrt(2-sqrt(2))*ri
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
Short Diagonal of Octagon - (Measured in Meter) - The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.
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.
STEP 1: Convert Input(s) to Base Unit
Inradius of Octagon: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dShort = 2*sqrt(2-sqrt(2))*ri --> 2*sqrt(2-sqrt(2))*12
Evaluating ... ...
dShort = 18.3688047535243
STEP 3: Convert Result to Output's Unit
18.3688047535243 Meter --> No Conversion Required
FINAL ANSWER
18.3688047535243 18.3688 Meter <-- Short Diagonal of Octagon
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Short Diagonal of Octagon Calculators

Short Diagonal of Octagon given Medium Diagonal
​ LaTeX ​ Go Short Diagonal of Octagon = sqrt(2-sqrt(2))*Medium Diagonal of Octagon
Short Diagonal of Octagon
​ LaTeX ​ Go Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon
Short Diagonal of Octagon given Height
​ LaTeX ​ Go Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon
Short Diagonal of Octagon given Long Diagonal
​ LaTeX ​ Go Short Diagonal of Octagon = Long Diagonal of Octagon/(sqrt(2))

Short Diagonal of Octagon given Inradius Formula

​LaTeX ​Go
Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon
dShort = 2*sqrt(2-sqrt(2))*ri

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 Short Diagonal of Octagon given Inradius?

Short Diagonal of Octagon given Inradius calculator uses Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon to calculate the Short Diagonal of Octagon, The Short Diagonal of Octagon given Inradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the inradius of the Octagon. Short Diagonal of Octagon is denoted by dShort symbol.

How to calculate Short Diagonal of Octagon given Inradius using this online calculator? To use this online calculator for Short Diagonal of Octagon given Inradius, enter Inradius of Octagon (ri) and hit the calculate button. Here is how the Short Diagonal of Octagon given Inradius calculation can be explained with given input values -> 18.3688 = 2*sqrt(2-sqrt(2))*12.

FAQ

What is Short Diagonal of Octagon given Inradius?
The Short Diagonal of Octagon given Inradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the inradius of the Octagon and is represented as dShort = 2*sqrt(2-sqrt(2))*ri or Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon. 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.
How to calculate Short Diagonal of Octagon given Inradius?
The Short Diagonal of Octagon given Inradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the inradius of the Octagon is calculated using Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon. To calculate Short Diagonal of Octagon given Inradius, you need Inradius of Octagon (ri). With our tool, you need to enter the respective value for Inradius 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 Short Diagonal of Octagon?
In this formula, Short Diagonal of Octagon uses Inradius of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon
  • Short Diagonal of Octagon = Long Diagonal of Octagon/(sqrt(2))
  • Short Diagonal of Octagon = sqrt(2-sqrt(2))*Medium Diagonal of Octagon
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