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Circumradius of Octagon given Inradius 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{4 - (2 \cdot \sqrt{2})} \cdot r i

r_c - Circumradius of Octagon?r_i - Inradius of Octagon?

Circumradius of Octagon given Inradius Example

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

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

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

12.9887 = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

12.9887m = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12m

12.9887 = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

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Circumradius of Octagon given Inradius Solution

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

FIRST Step Consider the formula

r c = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot r i

Next Step Substitute values of Variables

∴

r c = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12m

Next Step Prepare to Evaluate

∴

r c = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

Next Step Evaluate

∴

r c = 12.9887064035087m

LAST Step Rounding Answer

∴

r c = 12.9887m

Circumradius of Octagon given Inradius 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

Inradius of Octagon

The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Inradius?

Circumradius of Octagon given Inradius evaluator uses Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Inradius 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 inradius of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon given Inradius

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

The formula of Circumradius of Octagon given Inradius is expressed as Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon. Here is an example- 12.98871 = sqrt(4-(2*sqrt(2)))*12.

How to calculate Circumradius of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Circumradius of Octagon given Inradius using the formula - Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon. 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 Inradius be negative?

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

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

Circumradius of Octagon given Inradius 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 Inradius can be measured.

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