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Perimeter of Octagon given Medium 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 Medium}{1 + \sqrt{2}}

P - Perimeter of Octagon?d_Medium - Medium Diagonal of Octagon?

Perimeter of Octagon given Medium Diagonal Example

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

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

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

79.529 = \frac{8 \cdot 24}{1 + \sqrt{2}}

79.529m = \frac{8 \cdot 24m}{1 + \sqrt{2}}

79.529 = \frac{8 \cdot 24}{1 + \sqrt{2}}

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Perimeter of Octagon given Medium Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{8 \cdot 24m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

P = \frac{8 \cdot 24}{1 + \sqrt{2}}

Next Step Evaluate

∴

P = 79.5290039756343m

LAST Step Rounding Answer

∴

P = 79.529m

Perimeter of Octagon given Medium 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

Medium Diagonal of Octagon

The Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.

Symbol: d_Medium

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium 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 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 Medium Diagonal?

Perimeter of Octagon given Medium Diagonal evaluator uses Perimeter of Octagon = (8*Medium Diagonal of Octagon)/(1+sqrt(2)) to evaluate the Perimeter of Octagon, The Perimeter of Octagon given Medium Diagonal formula is defined as the total length of all the boundary lines of the Regular Octagon and calculated using the medium diagonal of the Octagon. Perimeter of Octagon is denoted by P symbol.

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

FAQs on Perimeter of Octagon given Medium Diagonal

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

The formula of Perimeter of Octagon given Medium Diagonal is expressed as Perimeter of Octagon = (8*Medium Diagonal of Octagon)/(1+sqrt(2)). Here is an example- 79.529 = (8*24)/(1+sqrt(2)).

How to calculate Perimeter of Octagon given Medium Diagonal?

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

Can the Perimeter of Octagon given Medium Diagonal be negative?

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

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

Perimeter of Octagon given Medium 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 Medium Diagonal can be measured.

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