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Circumradius of Octagon given Area Formula

GoCircumradius of Octagon Formula

GoCircumradius of Octagon given Long Diagonal Formula

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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. Check FAQs

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

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

Circumradius of Octagon given Area Example

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

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

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

13.0271 = \sqrt{\frac{480}{2 \cdot \sqrt{2}}}

13.0271m = \sqrt{\frac{480m²}{2 \cdot \sqrt{2}}}

13.0271 = \sqrt{\frac{480}{2 \cdot \sqrt{2}}}

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Circumradius of Octagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{480m²}{2 \cdot \sqrt{2}}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{480}{2 \cdot \sqrt{2}}}

Next Step Evaluate

∴

r c = 13.0271112486526m

LAST Step Rounding Answer

∴

r c = 13.0271m

Circumradius of Octagon given Area Formula Elements

Variables

Functions

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

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 Circumradius of Octagon

Go Circumradius of Octagon

r c = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot l e

Go Circumradius of Octagon given Long Diagonal

r c = \frac{d Long}{2}

Go Circumradius of Octagon given Medium Diagonal

r c = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot d Medium

Go Circumradius of Octagon given Short Diagonal

r c = \frac{d Short}{\sqrt{2}}

How to Evaluate Circumradius of Octagon given Area?

Circumradius of Octagon given Area evaluator uses Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))) to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Area formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle, and calculated using area of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon given Area

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

The formula of Circumradius of Octagon given Area is expressed as Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))). Here is an example- 13.02711 = sqrt(480/(2*sqrt(2))).

How to calculate Circumradius of Octagon given Area?

With Area of Octagon (A) we can find Circumradius of Octagon given Area using the formula - Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Octagon?

Here are the different ways to Calculate Circumradius of Octagon-

Circumradius of Octagon=sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
Circumradius of Octagon=Long Diagonal of Octagon/2
Circumradius of Octagon=sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon

Can the Circumradius of Octagon given Area be negative?

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

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

Circumradius 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 Circumradius of Octagon given Area can be measured.

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