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Short Diagonal of Octagon given Perimeter Formula

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GoShort Diagonal of Octagon given Long Diagonal 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 \frac{P}{8}

d_Short - Short Diagonal of Octagon?P - Perimeter of Octagon?

Short Diagonal of Octagon given Perimeter Example

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With units

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

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

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

18.4776 = \sqrt{2 + \sqrt{2}} \cdot \frac{80}{8}

18.4776m = \sqrt{2 + \sqrt{2}} \cdot \frac{80m}{8}

18.4776 = \sqrt{2 + \sqrt{2}} \cdot \frac{80}{8}

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Short Diagonal of Octagon given Perimeter Solution

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

FIRST Step Consider the formula

d Short = \sqrt{2 + \sqrt{2}} \cdot \frac{P}{8}

Next Step Substitute values of Variables

∴

d Short = \sqrt{2 + \sqrt{2}} \cdot \frac{80m}{8}

Next Step Prepare to Evaluate

∴

d Short = \sqrt{2 + \sqrt{2}} \cdot \frac{80}{8}

Next Step Evaluate

∴

d Short = 18.4775906502257m

LAST Step Rounding Answer

∴

d Short = 18.4776m

Short Diagonal of Octagon given Perimeter 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

Perimeter of Octagon

The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

Go Short Diagonal of Octagon given Long Diagonal

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

Go Short Diagonal of Octagon given Medium Diagonal

d Short = \sqrt{2 - \sqrt{2}} \cdot d Medium

Go Short Diagonal of Octagon given Height

d Short = \sqrt{2 - \sqrt{2}} \cdot h

How to Evaluate Short Diagonal of Octagon given Perimeter?

Short Diagonal of Octagon given Perimeter evaluator uses Short Diagonal of Octagon = sqrt(2+sqrt(2))*Perimeter of Octagon/8 to evaluate the Short Diagonal of Octagon, The Short Diagonal of Octagon given Perimeter formula is defined as the length of the 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 and calculated using the perimeter of the Octagon. Short Diagonal of Octagon is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Octagon given Perimeter

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

The formula of Short Diagonal of Octagon given Perimeter is expressed as Short Diagonal of Octagon = sqrt(2+sqrt(2))*Perimeter of Octagon/8. Here is an example- 18.47759 = sqrt(2+sqrt(2))*80/8.

How to calculate Short Diagonal of Octagon given Perimeter?

With Perimeter of Octagon (P) we can find Short Diagonal of Octagon given Perimeter using the formula - Short Diagonal of Octagon = sqrt(2+sqrt(2))*Perimeter of Octagon/8. 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(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

Can the Short Diagonal of Octagon given Perimeter be negative?

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

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

Short Diagonal of Octagon given Perimeter 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 given Perimeter can be measured.

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