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Height of Octagon given Long 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 = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot d Long

h - Height of Octagon?d_Long - Long Diagonal of Octagon?

Height of Octagon given Long Diagonal Example

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

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

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

24.0209 = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 26

24.0209m = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 26m

24.0209 = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 26

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Height of Octagon given Long Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 26m

Next Step Prepare to Evaluate

∴

h = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 26

Next Step Evaluate

∴

h = 24.0208678452935m

LAST Step Rounding Answer

∴

h = 24.0209m

Height of Octagon given Long 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

Long Diagonal of Octagon

The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 Short Diagonal

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

Go Height of Octagon given Perimeter

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

How to Evaluate Height of Octagon given Long Diagonal?

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

How to evaluate Height of Octagon given Long Diagonal using this online evaluator? To use this online evaluator for Height of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button.

FAQs on Height of Octagon given Long Diagonal

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

The formula of Height of Octagon given Long Diagonal is expressed as Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon. Here is an example- 24.02087 = ((sqrt(2+sqrt(2)))/2)*26.

How to calculate Height of Octagon given Long Diagonal?

With Long Diagonal of Octagon (d_Long) we can find Height of Octagon given Long Diagonal using the formula - Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long 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(1+(1/(sqrt(2))))*Short Diagonal of Octagon

Can the Height of Octagon given Long Diagonal be negative?

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

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

Height of Octagon given Long 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 Long Diagonal can be measured.

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