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Circumradius of Octagon given Long Diagonal Formula

GoCircumradius of Octagon Formula

GoCircumradius of Octagon given Medium 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 = \frac{d Long}{2}

r_c - Circumradius of Octagon?d_Long - Long Diagonal of Octagon?

Circumradius of Octagon given Long Diagonal Example

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

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

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

13 = \frac{26}{2}

13m = \frac{26m}{2}

13 = \frac{26}{2}

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Circumradius of Octagon given Long Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{26m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{26}{2}

LAST Step Evaluate

∴

r c = 13m

Circumradius of Octagon given Long Diagonal Formula Elements

Variables

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

Long Diagonal of Octagon

The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Octagon

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 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}}

Go Circumradius of Octagon given Height

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

How to Evaluate Circumradius of Octagon given Long Diagonal?

Circumradius of Octagon given Long Diagonal evaluator uses Circumradius of Octagon = Long Diagonal of Octagon/2 to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Long Diagonal formula is defined as the radius of the circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lying on that circle and calculated using the long diagonal of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon given Long Diagonal

What is the formula to find Circumradius of Octagon given Long Diagonal?

The formula of Circumradius of Octagon given Long Diagonal is expressed as Circumradius of Octagon = Long Diagonal of Octagon/2. Here is an example- 13 = 26/2.

How to calculate Circumradius of Octagon given Long Diagonal?

With Long Diagonal of Octagon (d_Long) we can find Circumradius of Octagon given Long Diagonal using the formula - Circumradius of Octagon = Long Diagonal of Octagon/2.

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=sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon
Circumradius of Octagon=Short Diagonal of Octagon/(sqrt(2))

Can the Circumradius of Octagon given Long Diagonal be negative?

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

Which unit is used to measure Circumradius of Octagon given Long Diagonal?

Circumradius of Octagon given Long Diagonal 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 Long Diagonal can be measured.

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