Height of Octagon given Short Diagonal Calculator

✖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 [d_Short]

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

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Formula

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Height of Octagon given Short Diagonal

Formula

`"h" = sqrt(1+(1/(sqrt(2))))*"d"_{"Short"}`

Example

`"23.51813m"=sqrt(1+(1/(sqrt(2))))*"18m"`

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Height of Octagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon
h = sqrt(1+(1/(sqrt(2))))*d_Short
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Octagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(1+(1/(sqrt(2))))*d_Short --> sqrt(1+(1/(sqrt(2))))*18

Evaluating ... ...

h = 23.5181333677748

STEP 3: Convert Result to Output's Unit

23.5181333677748 Meter --> No Conversion Required

FINAL ANSWER

23.5181333677748 ≈ 23.51813 Meter <-- Height of Octagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< 8 Height of Octagon Calculators

Height of Octagon given Circumradius

Go Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2))

Height of Octagon given Short Diagonal

Go Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon

Height of Octagon given Long Diagonal

Go Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon

Height of Octagon given Area

Go Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)

Height of Octagon given Perimeter

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

Height of Octagon

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

Height of Octagon given Medium Diagonal

Go Height of Octagon = Medium Diagonal of Octagon*1

Height of Octagon given Inradius

Go Height of Octagon = 2*Inradius of Octagon

Height of Octagon given Short Diagonal Formula

Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon
h = sqrt(1+(1/(sqrt(2))))*d_Short

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 Height of Octagon given Short Diagonal?

Height of Octagon given Short Diagonal calculator uses Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon to calculate the Height of Octagon, The Height of Octagon given Short Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the short diagonal of the Octagon. Height of Octagon is denoted by h symbol.

How to calculate Height of Octagon given Short Diagonal using this online calculator? To use this online calculator for Height of Octagon given Short Diagonal, enter Short Diagonal of Octagon (d_Short) and hit the calculate button. Here is how the Height of Octagon given Short Diagonal calculation can be explained with given input values -> 23.51813 = sqrt(1+(1/(sqrt(2))))*18.

FAQ

What is Height of Octagon given Short Diagonal?

The Height of Octagon given Short Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the short diagonal of the Octagon and is represented as h = sqrt(1+(1/(sqrt(2))))*d_Short or Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon. 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.

How to calculate Height of Octagon given Short Diagonal?

The Height of Octagon given Short Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the short diagonal of the Octagon is calculated using Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon. To calculate Height of Octagon given Short Diagonal, you need Short Diagonal of Octagon (d_Short). With our tool, you need to enter the respective value for Short Diagonal 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 Height of Octagon?

In this formula, Height of Octagon uses Short Diagonal of Octagon. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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