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Inradius of Octagon given Circumradius Formula

GoInradius of Octagon Formula

GoInradius of Octagon given Long Diagonal 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}}}{2}) \cdot r c

r_i - Inradius of Octagon?r_c - Circumradius of Octagon?

Inradius of Octagon given Circumradius Example

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

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

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

12.0104 = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 13

12.0104m = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 13m

12.0104 = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 13

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Inradius of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 13m

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot 13

Next Step Evaluate

∴

r i = 12.0104339226467m

LAST Step Rounding Answer

∴

r i = 12.0104m

Inradius of Octagon given Circumradius 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

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 Inradius of Octagon

Go Inradius of Octagon

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

Go Inradius of Octagon given Long Diagonal

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

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 Circumradius?

Inradius of Octagon given Circumradius evaluator uses Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius of Octagon to evaluate the Inradius of Octagon, The Inradius of Octagon given Circumradius 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 circumradius of the Octagon. Inradius of Octagon is denoted by r_i symbol.

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

FAQs on Inradius of Octagon given Circumradius

What is the formula to find Inradius of Octagon given Circumradius?

The formula of Inradius of Octagon given Circumradius is expressed as Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius of Octagon. Here is an example- 12.01043 = (sqrt(2+sqrt(2))/2)*13.

How to calculate Inradius of Octagon given Circumradius?

With Circumradius of Octagon (r_c) we can find Inradius of Octagon given Circumradius using the formula - Inradius of Octagon = (sqrt(2+sqrt(2))/2)*Circumradius 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)))/4)*Long Diagonal of Octagon
Inradius of Octagon=Medium Diagonal of Octagon/2

Can the Inradius of Octagon given Circumradius be negative?

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

Which unit is used to measure Inradius of Octagon given Circumradius?

Inradius 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 Inradius of Octagon given Circumradius can be measured.

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