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Inradius of Octagon given Long Diagonal Formula

GoInradius of Octagon Formula

GoInradius of Octagon given Circumradius Formula

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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. Check FAQs

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

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

Inradius of Octagon given Long Diagonal Example

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

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

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

12.0104 = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot 26

12.0104m = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot 26m

12.0104 = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot 26

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Inradius of Octagon given Long Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot 26m

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{2 + \sqrt{2}}}{4}) \cdot 26

Next Step Evaluate

∴

r i = 12.0104339226467m

LAST Step Rounding Answer

∴

r i = 12.0104m

Inradius of Octagon given Long Diagonal Formula Elements

Variables

Functions

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

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

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 Inradius of Octagon

Go Inradius of Octagon

r i = (\frac{1 + \sqrt{2}}{2}) \cdot l e

Go Inradius of Octagon given Circumradius

r i = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot r c

Go Inradius of Octagon given Medium Diagonal

r i = \frac{d Medium}{2}

Go Inradius of Octagon given Short Diagonal

r i = \sqrt{\frac{2 + \sqrt{2}}{8}} \cdot d Short

How to Evaluate Inradius of Octagon given Long Diagonal?

Inradius of Octagon given Long Diagonal evaluator uses Inradius of Octagon = ((sqrt(2+sqrt(2)))/4)*Long Diagonal of Octagon to evaluate the Inradius of Octagon, The Inradius of Octagon given Long Diagonal formula is defined as the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle, and calculated using long diagonal of the Octagon. Inradius of Octagon is denoted by r_i symbol.

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

FAQs on Inradius of Octagon given Long Diagonal

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

The formula of Inradius of Octagon given Long Diagonal is expressed as Inradius of Octagon = ((sqrt(2+sqrt(2)))/4)*Long Diagonal of Octagon. Here is an example- 12.01043 = ((sqrt(2+sqrt(2)))/4)*26.

How to calculate Inradius of Octagon given Long Diagonal?

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

What are the other ways to Calculate Inradius of Octagon?

Here are the different ways to Calculate Inradius of Octagon-

Inradius of Octagon=((1+sqrt(2))/2)*Edge Length of Octagon
Inradius of Octagon=(sqrt(2+sqrt(2))/2)*Circumradius of Octagon
Inradius of Octagon=Medium Diagonal of Octagon/2

Can the Inradius of Octagon given Long Diagonal be negative?

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

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

Inradius 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 Inradius of Octagon given Long Diagonal can be measured.

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