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Area of Octagon given Height 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 = 2 \cdot (\sqrt{2} - 1) \cdot h^{2}

A - Area of Octagon?h - Height of Octagon?

Area of Octagon given Height Example

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

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

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

477.174 = 2 \cdot (\sqrt{2} - 1) \cdot 24^{2}

477.174m² = 2 \cdot (\sqrt{2} - 1) \cdot {24m}^{2}

477.174 = 2 \cdot (\sqrt{2} - 1) \cdot 24^{2}

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Area of Octagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 2 \cdot (\sqrt{2} - 1) \cdot {24m}^{2}

Next Step Prepare to Evaluate

∴

A = 2 \cdot (\sqrt{2} - 1) \cdot 24^{2}

Next Step Evaluate

∴

A = 477.174023853806m²

LAST Step Rounding Answer

∴

A = 477.174m²

Area of Octagon given Height 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

Height of Octagon

The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Perimeter

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

How to Evaluate Area of Octagon given Height?

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

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

FAQs on Area of Octagon given Height

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

The formula of Area of Octagon given Height is expressed as Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2. Here is an example- 477.174 = 2*(sqrt(2)-1)*24^2.

How to calculate Area of Octagon given Height?

With Height of Octagon (h) we can find Area of Octagon given Height using the formula - Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2. 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 Height be negative?

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

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

Area of Octagon given Height 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 Height can be measured.

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