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Short Diagonal of Octagon given Inradius 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 = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot r i

d_Short - Short Diagonal of Octagon?r_i - Inradius of Octagon?

Short Diagonal of Octagon given Inradius Example

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

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

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

18.3688 = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot 12

18.3688m = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot 12m

18.3688 = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot 12

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Short Diagonal of Octagon given Inradius Solution

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

FIRST Step Consider the formula

d Short = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot r i

Next Step Substitute values of Variables

∴

d Short = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot 12m

Next Step Prepare to Evaluate

∴

d Short = 2 \cdot \sqrt{2 - \sqrt{2}} \cdot 12

Next Step Evaluate

∴

d Short = 18.3688047535243m

LAST Step Rounding Answer

∴

d Short = 18.3688m

Short Diagonal of Octagon given Inradius 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

Inradius of Octagon

The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Inradius?

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

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

FAQs on Short Diagonal of Octagon given Inradius

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

The formula of Short Diagonal of Octagon given Inradius is expressed as Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon. Here is an example- 18.3688 = 2*sqrt(2-sqrt(2))*12.

How to calculate Short Diagonal of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Short Diagonal of Octagon given Inradius using the formula - Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius 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 Inradius be negative?

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

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

Short Diagonal of Octagon given Inradius 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 Inradius can be measured.

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