Short Diagonal of Octagon given Height Calculator

✖The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.ⓘ Height of Octagon [h]

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✖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.ⓘ Short Diagonal of Octagon given Height [d_Short]

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Short Diagonal of Octagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon
d_Short = sqrt(2-sqrt(2))*h
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.
Height of Octagon - (Measured in Meter) - The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Height of Octagon: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = sqrt(2-sqrt(2))*h --> sqrt(2-sqrt(2))*24

Evaluating ... ...

d_Short = 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 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 Height Formula

LaTeX Go

Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon
d_Short = sqrt(2-sqrt(2))*h

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 Height?

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

How to calculate Short Diagonal of Octagon given Height using this online calculator? To use this online calculator for Short Diagonal of Octagon given Height, enter Height of Octagon (h) and hit the calculate button. Here is how the Short Diagonal of Octagon given Height calculation can be explained with given input values -> 18.3688 = sqrt(2-sqrt(2))*24.

FAQ

What is Short Diagonal of Octagon given Height?

The Short Diagonal of Octagon given Height formula is defined as the length of the smallest diagonals or the line joining a vertex and any one of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the height of the Octagon and is represented as d_Short = sqrt(2-sqrt(2))*h or Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon. The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

How to calculate Short Diagonal of Octagon given Height?

The Short Diagonal of Octagon given Height formula is defined as the length of the smallest diagonals or the line joining a vertex and any one of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the height of the Octagon is calculated using Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon. To calculate Short Diagonal of Octagon given Height, you need Height of Octagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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