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Perimeter of Octagon given Long 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 Long}{\sqrt{4 + (2 \cdot \sqrt{2})}}

P - Perimeter of Octagon?d_Long - Long Diagonal of Octagon?

Perimeter of Octagon given Long Diagonal Example

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

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

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

79.5982 = \frac{8 \cdot 26}{\sqrt{4 + (2 \cdot \sqrt{2})}}

79.5982m = \frac{8 \cdot 26m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

79.5982 = \frac{8 \cdot 26}{\sqrt{4 + (2 \cdot \sqrt{2})}}

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Perimeter of Octagon given Long Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{8 \cdot 26m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

P = \frac{8 \cdot 26}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Evaluate

∴

P = 79.5981539319387m

LAST Step Rounding Answer

∴

P = 79.5982m

Perimeter of Octagon given Long 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

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 Perimeter of Octagon

Go Perimeter of Octagon

P = 8 \cdot l e

Go Perimeter of Octagon given Medium Diagonal

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

Go Perimeter of Octagon given Short Diagonal

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

Go Perimeter of Octagon given Height

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

How to Evaluate Perimeter of Octagon given Long Diagonal?

Perimeter of Octagon given Long Diagonal evaluator uses Perimeter of Octagon = (8*Long Diagonal of Octagon)/sqrt(4+(2*sqrt(2))) to evaluate the Perimeter of Octagon, The Perimeter of Octagon given Long Diagonal formula is defined as the total length of all the boundary lines of the Regular Octagon and calculated using the long diagonal of the Octagon. Perimeter of Octagon is denoted by P symbol.

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

FAQs on Perimeter of Octagon given Long Diagonal

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

The formula of Perimeter of Octagon given Long Diagonal is expressed as Perimeter of Octagon = (8*Long Diagonal of Octagon)/sqrt(4+(2*sqrt(2))). Here is an example- 79.59815 = (8*26)/sqrt(4+(2*sqrt(2))).

How to calculate Perimeter of Octagon given Long Diagonal?

With Long Diagonal of Octagon (d_Long) we can find Perimeter of Octagon given Long Diagonal using the formula - Perimeter of Octagon = (8*Long Diagonal of Octagon)/sqrt(4+(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*Medium Diagonal of Octagon)/(1+sqrt(2))
Perimeter of Octagon=(8*Short Diagonal of Octagon)/sqrt(2+sqrt(2))

Can the Perimeter of Octagon given Long Diagonal be negative?

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

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

Perimeter 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 Perimeter of Octagon given Long Diagonal can be measured.

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