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Short Diagonal of Octagon Formula

GoShort Diagonal of Octagon given Area Formula

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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. Check FAQs

d Short = \sqrt{2 + \sqrt{2}} \cdot l e

d_Short - Short Diagonal of Octagon?l_e - Edge Length of Octagon?

Short Diagonal of Octagon Example

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

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

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

18.4776 = \sqrt{2 + \sqrt{2}} \cdot 10

18.4776m = \sqrt{2 + \sqrt{2}} \cdot 10m

18.4776 = \sqrt{2 + \sqrt{2}} \cdot 10

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Short Diagonal of Octagon Solution

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

FIRST Step Consider the formula

d Short = \sqrt{2 + \sqrt{2}} \cdot l e

Next Step Substitute values of Variables

∴

d Short = \sqrt{2 + \sqrt{2}} \cdot 10m

Next Step Prepare to Evaluate

∴

d Short = \sqrt{2 + \sqrt{2}} \cdot 10

Next Step Evaluate

∴

d Short = 18.4775906502257m

LAST Step Rounding Answer

∴

d Short = 18.4776m

Short Diagonal of Octagon Formula Elements

Variables

Functions

Short Diagonal of Octagon

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Octagon

Edge Length of Octagon

The Edge Length of Octagon is the length of any edge of the Regular Octagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 Short Diagonal of Octagon

Go Short Diagonal of Octagon given Area

d Short = \sqrt{\frac{A}{\sqrt{2}}}

Other formulas in Short Diagonal of Octagon category

Go Long Diagonal of Octagon

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot l e

Go Long Diagonal of Octagon given Circumradius

d Long = 2 \cdot r c

Go Medium Diagonal of Octagon

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

Go Medium Diagonal of Octagon given Inradius

d Medium = 2 \cdot r i

How to Evaluate Short Diagonal of Octagon?

Short Diagonal of Octagon evaluator uses Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon to evaluate the Short Diagonal of Octagon, The Short Diagonal of Octagon formula is defined as the length of 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. Short Diagonal of Octagon is denoted by d_Short symbol.

How to evaluate Short Diagonal of Octagon using this online evaluator? To use this online evaluator for Short Diagonal of Octagon, enter Edge Length of Octagon (l_e) and hit the calculate button.

FAQs on Short Diagonal of Octagon

What is the formula to find Short Diagonal of Octagon?

The formula of Short Diagonal of Octagon is expressed as Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon. Here is an example- 18.47759 = sqrt(2+sqrt(2))*10.

How to calculate Short Diagonal of Octagon?

With Edge Length of Octagon (l_e) we can find Short Diagonal of Octagon using the formula - Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Diagonal of Octagon?

Here are the different ways to Calculate Short Diagonal of Octagon-

Short Diagonal of Octagon=sqrt(Area of Octagon/(sqrt(2)))

Can the Short Diagonal of Octagon be negative?

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

Which unit is used to measure Short Diagonal of Octagon?

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

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