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Area of Octagon given Perimeter Formula

GoArea of Octagon Formula

GoArea of Octagon given Edge Length and Inradius Formula

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

A = (1 + \sqrt{2}) \cdot \frac{P^{2}}{32}

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

Area of Octagon given Perimeter Example

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

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

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

482.8427 = (1 + \sqrt{2}) \cdot \frac{80^{2}}{32}

482.8427m² = (1 + \sqrt{2}) \cdot \frac{{80m}^{2}}{32}

482.8427 = (1 + \sqrt{2}) \cdot \frac{80^{2}}{32}

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Area of Octagon given Perimeter Solution

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

FIRST Step Consider the formula

A = (1 + \sqrt{2}) \cdot \frac{P^{2}}{32}

Next Step Substitute values of Variables

∴

A = (1 + \sqrt{2}) \cdot \frac{{80m}^{2}}{32}

Next Step Prepare to Evaluate

∴

A = (1 + \sqrt{2}) \cdot \frac{80^{2}}{32}

Next Step Evaluate

∴

A = 482.842712474619m²

LAST Step Rounding Answer

∴

A = 482.8427m²

Area of Octagon given Perimeter Formula Elements

Variables

Functions

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

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 Area of Octagon

Go Area of Octagon

A = 2 \cdot (1 + \sqrt{2}) \cdot {l e}^{2}

Go Area of Octagon given Edge Length and Inradius

A = 4 \cdot l e \cdot r i

Go Area of Octagon given Circumradius

A = 2 \cdot \sqrt{2} \cdot {r c}^{2}

Go Area of Octagon given Height

A = 2 \cdot (\sqrt{2} - 1) \cdot h^{2}

How to Evaluate Area of Octagon given Perimeter?

Area of Octagon given Perimeter evaluator uses Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32 to evaluate the Area of Octagon, The Area of Octagon given Perimeter formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the perimeter of the Octagon. Area of Octagon is denoted by A symbol.

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

FAQs on Area of Octagon given Perimeter

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

The formula of Area of Octagon given Perimeter is expressed as Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32. Here is an example- 482.8427 = (1+sqrt(2))*(80^2)/32.

How to calculate Area of Octagon given Perimeter?

With Perimeter of Octagon (P) we can find Area of Octagon given Perimeter using the formula - Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Octagon?

Here are the different ways to Calculate Area of Octagon-

Area of Octagon=2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon=4*Edge Length of Octagon*Inradius of Octagon
Area of Octagon=2*sqrt(2)*Circumradius of Octagon^2

Can the Area of Octagon given Perimeter be negative?

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

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

Area of Octagon given Perimeter is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Octagon given Perimeter can be measured.

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