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Long Diagonal of Octagon given Inradius Formula

GoLong Diagonal of Octagon Formula

GoLong Diagonal of Octagon given Medium Diagonal Formula

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

d Long = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot r i

d_Long - Long Diagonal of Octagon?r_i - Inradius of Octagon?

Long Diagonal of Octagon given Inradius Example

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

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

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

25.9774 = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

25.9774m = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12m

25.9774 = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

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Long Diagonal of Octagon given Inradius Solution

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

FIRST Step Consider the formula

d Long = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot r i

Next Step Substitute values of Variables

∴

d Long = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12m

Next Step Prepare to Evaluate

∴

d Long = 2 \cdot \sqrt{4 - (2 \cdot \sqrt{2})} \cdot 12

Next Step Evaluate

∴

d Long = 25.9774128070175m

LAST Step Rounding Answer

∴

d Long = 25.9774m

Long Diagonal of Octagon given Inradius Formula Elements

Variables

Functions

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

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 Long Diagonal of Octagon

Go Long Diagonal of Octagon

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot l e

Go Long Diagonal of Octagon given Medium Diagonal

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot d Medium

Go Long Diagonal of Octagon given Short Diagonal

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

Go Long Diagonal of Octagon given Height

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot h

How to Evaluate Long Diagonal of Octagon given Inradius?

Long Diagonal of Octagon given Inradius evaluator uses Long Diagonal of Octagon = 2*sqrt(4-(2*sqrt(2)))*Inradius of Octagon to evaluate the Long Diagonal of Octagon, The Long Diagonal of Octagon given Inradius formula is defined as the length of the longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the inradius of the Octagon. Long Diagonal of Octagon is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Octagon given Inradius

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

The formula of Long Diagonal of Octagon given Inradius is expressed as Long Diagonal of Octagon = 2*sqrt(4-(2*sqrt(2)))*Inradius of Octagon. Here is an example- 25.97741 = 2*sqrt(4-(2*sqrt(2)))*12.

How to calculate Long Diagonal of Octagon given Inradius?

With Inradius of Octagon (r_i) we can find Long Diagonal of Octagon given Inradius using the formula - Long Diagonal of Octagon = 2*sqrt(4-(2*sqrt(2)))*Inradius of Octagon. This formula also uses Square Root (sqrt) function(s).

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

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

Long Diagonal of Octagon=sqrt(4+(2*sqrt(2)))*Edge Length of Octagon
Long Diagonal of Octagon=sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon
Long Diagonal of Octagon=sqrt(2)*Short Diagonal of Octagon

Can the Long Diagonal of Octagon given Inradius be negative?

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

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

Long 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 Long Diagonal of Octagon given Inradius can be measured.

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