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Side of Dodecagon given Inradius Formula

GoSide of Dodecagon given Diagonal across Two Sides Formula

GoSide of Dodecagon given Diagonal across Five Sides Formula

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

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

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

Side of Dodecagon given Inradius Example

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

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

Here is how the Side of Dodecagon given Inradius equation looks like.

10.1821 = \frac{19}{\frac{2 + \sqrt{3}}{2}}

10.1821m = \frac{19m}{\frac{2 + \sqrt{3}}{2}}

10.1821 = \frac{19}{\frac{2 + \sqrt{3}}{2}}

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Side of Dodecagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{19m}{\frac{2 + \sqrt{3}}{2}}

Next Step Prepare to Evaluate

∴

S = \frac{19}{\frac{2 + \sqrt{3}}{2}}

Next Step Evaluate

∴

S = 10.1820693123827m

LAST Step Rounding Answer

∴

S = 10.1821m

Side of Dodecagon given Inradius Formula Elements

Variables

Functions

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

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

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 Side of Dodecagon

Go Side of Dodecagon given Diagonal across Two Sides

S = \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Side of Dodecagon given Diagonal across Five Sides

S = \frac{d 5}{2 + \sqrt{3}}

Go Side of Dodecagon given Diagonal across Three Sides

S = \frac{d 3}{\sqrt{3} + 1}

Go Side of Dodecagon given Diagonal across Four Sides

S = \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

How to Evaluate Side of Dodecagon given Inradius?

Side of Dodecagon given Inradius evaluator uses Side of Dodecagon = Inradius of Dodecagon/((2+sqrt(3))/2) to evaluate the Side of Dodecagon, Side of Dodecagon given Inradius formula is defined the straight line joining two adjacent vertices of the Dodecagon, calculated using inradius. Side of Dodecagon is denoted by S symbol.

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

FAQs on Side of Dodecagon given Inradius

What is the formula to find Side of Dodecagon given Inradius?

The formula of Side of Dodecagon given Inradius is expressed as Side of Dodecagon = Inradius of Dodecagon/((2+sqrt(3))/2). Here is an example- 10.18207 = 19/((2+sqrt(3))/2).

How to calculate Side of Dodecagon given Inradius?

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

What are the other ways to Calculate Side of Dodecagon?

Here are the different ways to Calculate Side of Dodecagon-

Side of Dodecagon=Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Side of Dodecagon=Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Side of Dodecagon=Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Can the Side of Dodecagon given Inradius be negative?

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

Which unit is used to measure Side of Dodecagon given Inradius?

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

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