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Perimeter of Octagon given Area Formula

GoPerimeter of Octagon Formula

GoPerimeter 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 = 8 \cdot \sqrt{\frac{A}{2 \cdot (1 + \sqrt{2})}}

P - Perimeter of Octagon?A - Area of Octagon?

Perimeter of Octagon given Area Example

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With units

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

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

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

79.7642 = 8 \cdot \sqrt{\frac{480}{2 \cdot (1 + \sqrt{2})}}

79.7642m = 8 \cdot \sqrt{\frac{480m²}{2 \cdot (1 + \sqrt{2})}}

79.7642 = 8 \cdot \sqrt{\frac{480}{2 \cdot (1 + \sqrt{2})}}

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Perimeter of Octagon given Area Solution

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

FIRST Step Consider the formula

P = 8 \cdot \sqrt{\frac{A}{2 \cdot (1 + \sqrt{2})}}

Next Step Substitute values of Variables

∴

P = 8 \cdot \sqrt{\frac{480m²}{2 \cdot (1 + \sqrt{2})}}

Next Step Prepare to Evaluate

∴

P = 8 \cdot \sqrt{\frac{480}{2 \cdot (1 + \sqrt{2})}}

Next Step Evaluate

∴

P = 79.76415434298m

LAST Step Rounding Answer

∴

P = 79.7642m

Perimeter of Octagon given Area 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

Area of Octagon

The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Short Diagonal

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

How to Evaluate Perimeter of Octagon given Area?

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

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

FAQs on Perimeter of Octagon given Area

What is the formula to find Perimeter of Octagon given Area?

The formula of Perimeter of Octagon given Area is expressed as Perimeter of Octagon = 8*sqrt(Area of Octagon/(2*(1+sqrt(2)))). Here is an example- 79.76415 = 8*sqrt(480/(2*(1+sqrt(2)))).

How to calculate Perimeter of Octagon given Area?

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

Can the Perimeter of Octagon given Area be negative?

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

Which unit is used to measure Perimeter of Octagon given Area?

Perimeter of Octagon given Area 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 Area can be measured.

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