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Circumradius of Octagon given Short Diagonal 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 = \frac{d Short}{\sqrt{2}}

r_c - Circumradius of Octagon?d_Short - Short Diagonal of Octagon?

Circumradius of Octagon given Short Diagonal Example

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

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

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

12.7279 = \frac{18}{\sqrt{2}}

12.7279m = \frac{18m}{\sqrt{2}}

12.7279 = \frac{18}{\sqrt{2}}

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Circumradius of Octagon given Short Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{18m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{18}{\sqrt{2}}

Next Step Evaluate

∴

r c = 12.7279220613579m

LAST Step Rounding Answer

∴

r c = 12.7279m

Circumradius of Octagon given Short Diagonal 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

Short Diagonal of Octagon

The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal 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 Height

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

How to Evaluate Circumradius of Octagon given Short Diagonal?

Circumradius of Octagon given Short Diagonal evaluator uses Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2)) to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Short 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 short diagonal of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

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

FAQs on Circumradius of Octagon given Short Diagonal

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

The formula of Circumradius of Octagon given Short Diagonal is expressed as Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2)). Here is an example- 12.72792 = 18/(sqrt(2)).

How to calculate Circumradius of Octagon given Short Diagonal?

With Short Diagonal of Octagon (d_Short) we can find Circumradius of Octagon given Short Diagonal using the formula - Circumradius of Octagon = Short Diagonal of Octagon/(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 Short Diagonal be negative?

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

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

Circumradius of Octagon given Short 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 Short Diagonal can be measured.

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