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Area of Octagon given Circumradius 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} \cdot {r c}^{2}

A - Area of Octagon?r_c - Circumradius of Octagon?

Area of Octagon given Circumradius Example

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

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

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

478.0042 = 2 \cdot \sqrt{2} \cdot 13^{2}

478.0042m² = 2 \cdot \sqrt{2} \cdot {13m}^{2}

478.0042 = 2 \cdot \sqrt{2} \cdot 13^{2}

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Area of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 2 \cdot \sqrt{2} \cdot {13m}^{2}

Next Step Prepare to Evaluate

∴

A = 2 \cdot \sqrt{2} \cdot 13^{2}

Next Step Evaluate

∴

A = 478.004184082106m²

LAST Step Rounding Answer

∴

A = 478.0042m²

Area of Octagon given Circumradius 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

Circumradius of Octagon

The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Height

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

Go Area of Octagon given Perimeter

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

How to Evaluate Area of Octagon given Circumradius?

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

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

FAQs on Area of Octagon given Circumradius

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

The formula of Area of Octagon given Circumradius is expressed as Area of Octagon = 2*sqrt(2)*Circumradius of Octagon^2. Here is an example- 478.0042 = 2*sqrt(2)*13^2.

How to calculate Area of Octagon given Circumradius?

With Circumradius of Octagon (r_c) we can find Area of Octagon given Circumradius using the formula - Area of Octagon = 2*sqrt(2)*Circumradius 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)-1)*Height of Octagon^2

Can the Area of Octagon given Circumradius be negative?

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

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

Area of Octagon given Circumradius 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 Circumradius can be measured.

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