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Height of Octagon given Short Diagonal Formula

GoHeight of Octagon given Inradius Formula

GoHeight of Octagon Formula

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The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon. Check FAQs

h = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot d Short

h - Height of Octagon?d_Short - Short Diagonal of Octagon?

Height of Octagon given Short Diagonal Example

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Here is how the Height of Octagon given Short Diagonal equation looks like with Values.

Here is how the Height of Octagon given Short Diagonal equation looks like with Units.

Here is how the Height of Octagon given Short Diagonal equation looks like.

23.5181 = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 18

23.5181m = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 18m

23.5181 = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 18

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Height of Octagon given Short Diagonal Solution

Follow our step by step solution on how to calculate Height of Octagon given Short Diagonal?

FIRST Step Consider the formula

h = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot d Short

Next Step Substitute values of Variables

∴

h = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 18m

Next Step Prepare to Evaluate

∴

h = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 18

Next Step Evaluate

∴

h = 23.5181333677748m

LAST Step Rounding Answer

∴

h = 23.5181m

Height of Octagon given Short Diagonal Formula Elements

Variables

Functions

Height of Octagon

The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Octagon

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.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Octagon

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.

Syntax: sqrt(Number)

Other Formulas to find Height of Octagon

Go Height of Octagon given Inradius

h = 2 \cdot r i

Go Height of Octagon

h = (1 + \sqrt{2}) \cdot l e

Go Height of Octagon given Long Diagonal

h = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot d Long

Go Height of Octagon given Perimeter

h = (1 + \sqrt{2}) \cdot \frac{P}{8}

How to Evaluate Height of Octagon given Short Diagonal?

Height of Octagon given Short Diagonal evaluator uses Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon to evaluate 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 evaluate Height of Octagon given Short Diagonal using this online evaluator? To use this online evaluator for Height of Octagon given Short Diagonal, enter Short Diagonal of Octagon (d_Short) and hit the calculate button.

FAQs on Height of Octagon given Short Diagonal

What is the formula to find Height of Octagon given Short Diagonal?

The formula of Height of Octagon given Short Diagonal is expressed as Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon. Here is an example- 23.51813 = sqrt(1+(1/(sqrt(2))))*18.

How to calculate Height of Octagon given Short Diagonal?

With Short Diagonal of Octagon (d_Short) we can find Height of Octagon given Short Diagonal using the formula - Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Octagon?

Here are the different ways to Calculate Height of Octagon-

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

Can the Height of Octagon given Short Diagonal be negative?

No, the Height of Octagon given Short Diagonal, measured in Length cannot be negative.

Which unit is used to measure Height of Octagon given Short Diagonal?

Height of Octagon given Short Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Octagon given Short Diagonal can be measured.

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