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Circumradius of Octagon Formula

GoCircumradius of Octagon given Height 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{1 + (\frac{1}{\sqrt{2}})} \cdot l e

r_c - Circumradius of Octagon?l_e - Edge Length of Octagon?

Circumradius of Octagon Example

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

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

Here is how the Circumradius of Octagon equation looks like.

13.0656 = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 10

13.0656m = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 10m

13.0656 = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 10

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Circumradius of Octagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot 10

Next Step Evaluate

∴

r c = 13.0656296487638m

LAST Step Rounding Answer

∴

r c = 13.0656m

Circumradius of Octagon 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

Edge Length of Octagon

The Edge Length of Octagon is the length of any edge of the Regular Octagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Height

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

Other formulas in Circumradius of Octagon category

Go Inradius of Octagon

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

Go Inradius of Octagon given Height

r i = \frac{h}{2}

Go Inradius of Octagon given Width

r i = \frac{w}{2}

How to Evaluate Circumradius of Octagon?

Circumradius of Octagon evaluator uses Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon to evaluate the Circumradius of Octagon, The Circumradius of octagon 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. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon

What is the formula to find Circumradius of Octagon?

The formula of Circumradius of Octagon is expressed as Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon. Here is an example- 13.06563 = sqrt(1+(1/sqrt(2)))*10.

How to calculate Circumradius of Octagon?

With Edge Length of Octagon (l_e) we can find Circumradius of Octagon using the formula - Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length 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)))*Height of Octagon

Can the Circumradius of Octagon be negative?

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

Which unit is used to measure Circumradius of Octagon?

Circumradius of Octagon 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 can be measured.

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