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Circumradius of Octagon given Height Formula

GoCircumradius of Octagon 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 h

r_c - Circumradius of Octagon?h - Height of Octagon?

Circumradius of Octagon given Height Example

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

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

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

12.9887 = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot 24

12.9887m = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot 24m

12.9887 = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot 24

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Circumradius of Octagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot 24m

Next Step Prepare to Evaluate

∴

r c = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot 24

Next Step Evaluate

∴

r c = 12.9887064035087m

LAST Step Rounding Answer

∴

r c = 12.9887m

Circumradius of Octagon given Height 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

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 Circumradius of Octagon

Go Circumradius of Octagon

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

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 given Height?

Circumradius of Octagon given Height evaluator uses Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Height 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 height of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon given Height

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

The formula of Circumradius of Octagon given Height is expressed as Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon. Here is an example- 12.98871 = sqrt(1-(1/sqrt(2)))*24.

How to calculate Circumradius of Octagon given Height?

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

Can the Circumradius of Octagon given Height be negative?

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

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

Circumradius of Octagon given Height 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 Height can be measured.

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