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Perimeter of Octagon given Short Diagonal Formula

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

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

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

Perimeter of Octagon given Short Diagonal Example

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

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

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

77.9322 = \frac{8 \cdot 18}{\sqrt{2 + \sqrt{2}}}

77.9322m = \frac{8 \cdot 18m}{\sqrt{2 + \sqrt{2}}}

77.9322 = \frac{8 \cdot 18}{\sqrt{2 + \sqrt{2}}}

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Perimeter of Octagon given Short Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{8 \cdot 18m}{\sqrt{2 + \sqrt{2}}}

Next Step Prepare to Evaluate

∴

P = \frac{8 \cdot 18}{\sqrt{2 + \sqrt{2}}}

Next Step Evaluate

∴

P = 77.9322384210524m

LAST Step Rounding Answer

∴

P = 77.9322m

Perimeter of Octagon given Short Diagonal Formula Elements

Variables

Functions

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

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 Perimeter of Octagon

Go Perimeter of Octagon

P = 8 \cdot l e

Go Perimeter of Octagon given Long Diagonal

P = \frac{8 \cdot d Long}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Go Perimeter of Octagon given Medium Diagonal

P = \frac{8 \cdot d Medium}{1 + \sqrt{2}}

Go Perimeter of Octagon given Height

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

How to Evaluate Perimeter of Octagon given Short Diagonal?

Perimeter of Octagon given Short Diagonal evaluator uses Perimeter of Octagon = (8*Short Diagonal of Octagon)/sqrt(2+sqrt(2)) to evaluate the Perimeter of Octagon, The Perimeter of Octagon given Short Diagonal formula is defined as the total length of all the boundary lines of the Regular Octagon and calculated using the short diagonal of the Octagon. Perimeter of Octagon is denoted by P symbol.

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

FAQs on Perimeter of Octagon given Short Diagonal

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

The formula of Perimeter of Octagon given Short Diagonal is expressed as Perimeter of Octagon = (8*Short Diagonal of Octagon)/sqrt(2+sqrt(2)). Here is an example- 77.93224 = (8*18)/sqrt(2+sqrt(2)).

How to calculate Perimeter of Octagon given Short Diagonal?

With Short Diagonal of Octagon (d_Short) we can find Perimeter of Octagon given Short Diagonal using the formula - Perimeter of Octagon = (8*Short Diagonal of Octagon)/sqrt(2+sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Octagon?

Here are the different ways to Calculate Perimeter of Octagon-

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

Can the Perimeter of Octagon given Short Diagonal be negative?

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

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

Perimeter 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 Perimeter of Octagon given Short Diagonal can be measured.

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