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Short Diagonal of Octagon given Circumradius Formula

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GoShort Diagonal of Octagon given Long Diagonal Formula

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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. Check FAQs

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

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

Short Diagonal of Octagon given Circumradius Example

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

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

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

18.3848 = \sqrt{2} \cdot 13

18.3848m = \sqrt{2} \cdot 13m

18.3848 = \sqrt{2} \cdot 13

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Short Diagonal of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \sqrt{2} \cdot 13m

Next Step Prepare to Evaluate

∴

d Short = \sqrt{2} \cdot 13

Next Step Evaluate

∴

d Short = 18.3847763108502m

LAST Step Rounding Answer

∴

d Short = 18.3848m

Short Diagonal of Octagon given Circumradius Formula Elements

Variables

Functions

Short Diagonal of Octagon

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Octagon

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

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 Short Diagonal of Octagon

Go Short Diagonal of Octagon

d Short = \sqrt{2 + \sqrt{2}} \cdot l e

Go Short Diagonal of Octagon given Long Diagonal

d Short = \frac{d Long}{\sqrt{2}}

Go Short Diagonal of Octagon given Medium Diagonal

d Short = \sqrt{2 - \sqrt{2}} \cdot d Medium

Go Short Diagonal of Octagon given Height

d Short = \sqrt{2 - \sqrt{2}} \cdot h

How to Evaluate Short Diagonal of Octagon given Circumradius?

Short Diagonal of Octagon given Circumradius evaluator uses Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon to evaluate the Short Diagonal of Octagon, The Short Diagonal of Octagon given Circumradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any one of the vertices that comes next to the adjacent vertices of the first vertex of the Octagon and calculated using the circumradius of the Octagon. Short Diagonal of Octagon is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Octagon given Circumradius

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

The formula of Short Diagonal of Octagon given Circumradius is expressed as Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon. Here is an example- 18.38478 = sqrt(2)*13.

How to calculate Short Diagonal of Octagon given Circumradius?

With Circumradius of Octagon (r_c) we can find Short Diagonal of Octagon given Circumradius using the formula - Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Diagonal of Octagon?

Here are the different ways to Calculate Short Diagonal of Octagon-

Short Diagonal of Octagon=sqrt(2+sqrt(2))*Edge Length of Octagon
Short Diagonal of Octagon=Long Diagonal of Octagon/(sqrt(2))
Short Diagonal of Octagon=sqrt(2-sqrt(2))*Medium Diagonal of Octagon

Can the Short Diagonal of Octagon given Circumradius be negative?

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

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

Short Diagonal of Octagon given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Diagonal of Octagon given Circumradius can be measured.

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