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Inradius of Dodecagon Formula

GoInradius of Dodecagon given Height Formula

GoInradius of Dodecagon given Width Formula

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Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon. Check FAQs

r i = \frac{2 + \sqrt{3}}{2} \cdot S

r_i - Inradius of Dodecagon?S - Side of Dodecagon?

Inradius of Dodecagon Example

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Here is how the Inradius of Dodecagon equation looks like with Values.

Here is how the Inradius of Dodecagon equation looks like with Units.

Here is how the Inradius of Dodecagon equation looks like.

18.6603 = \frac{2 + \sqrt{3}}{2} \cdot 10

18.6603m = \frac{2 + \sqrt{3}}{2} \cdot 10m

18.6603 = \frac{2 + \sqrt{3}}{2} \cdot 10

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Inradius of Dodecagon Solution

Follow our step by step solution on how to calculate Inradius of Dodecagon?

FIRST Step Consider the formula

r i = \frac{2 + \sqrt{3}}{2} \cdot S

Next Step Substitute values of Variables

∴

r i = \frac{2 + \sqrt{3}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r i = \frac{2 + \sqrt{3}}{2} \cdot 10

Next Step Evaluate

∴

r i = 18.6602540378444m

LAST Step Rounding Answer

∴

r i = 18.6603m

Inradius of Dodecagon Formula Elements

Variables

Functions

Inradius of Dodecagon

Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Dodecagon

Side of Dodecagon

Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Dodecagon

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 Dodecagon

Go Inradius of Dodecagon given Height

r i = \frac{h}{2}

Go Inradius of Dodecagon given Width

r i = \frac{w}{2}

Go Inradius of Dodecagon given Perimeter

r i = \frac{2 + \sqrt{3}}{24} \cdot P

Other formulas in Inradius of Dodecagon category

Go Circumradius of Dodecagon

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot S

Go Circumradius of Dodecagon given Diagonal across Two Sides

r c = \frac{d 2}{1}

Go Circumradius of Dodecagon given Perimeter

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot P

Go Circumradius of Dodecagon given Width

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{w}{2 + \sqrt{3}}

How to Evaluate Inradius of Dodecagon?

Inradius of Dodecagon evaluator uses Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon to evaluate the Inradius of Dodecagon, The Inradius of Dodecagon formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon. Inradius of Dodecagon is denoted by r_i symbol.

How to evaluate Inradius of Dodecagon using this online evaluator? To use this online evaluator for Inradius of Dodecagon, enter Side of Dodecagon (S) and hit the calculate button.

FAQs on Inradius of Dodecagon

What is the formula to find Inradius of Dodecagon?

The formula of Inradius of Dodecagon is expressed as Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon. Here is an example- 18.66025 = (2+sqrt(3))/2*10.

How to calculate Inradius of Dodecagon?

With Side of Dodecagon (S) we can find Inradius of Dodecagon using the formula - Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inradius of Dodecagon?

Here are the different ways to Calculate Inradius of Dodecagon-

Inradius of Dodecagon=Height of Dodecagon/2
Inradius of Dodecagon=Width of Dodecagon/2
Inradius of Dodecagon=(2+sqrt(3))/24*Perimeter of Dodecagon

Can the Inradius of Dodecagon be negative?

No, the Inradius of Dodecagon, measured in Length cannot be negative.

Which unit is used to measure Inradius of Dodecagon?

Inradius of Dodecagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Dodecagon can be measured.

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