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Side of Dodecagon given Circumradius Formula

GoSide of Dodecagon given Area Formula

GoSide of Dodecagon given Height 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 c}{\frac{\sqrt{6} + \sqrt{2}}{2}}

S - Side of Dodecagon?r_c - Circumradius of Dodecagon?

Side of Dodecagon given Circumradius Example

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

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

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

10.3528 = \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

10.3528m = \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

10.3528 = \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

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Side of Dodecagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Prepare to Evaluate

∴

S = \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Evaluate

∴

S = 10.3527618041008m

LAST Step Rounding Answer

∴

S = 10.3528m

Side of Dodecagon given Circumradius 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

Circumradius of Dodecagon

Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Area

S = \sqrt{\frac{A}{3 \cdot (2 + \sqrt{3})}}

Go Side of Dodecagon given Height

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

Go Side of Dodecagon given Perimeter

S = \frac{P}{12}

How to Evaluate Side of Dodecagon given Circumradius?

Side of Dodecagon given Circumradius evaluator uses Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to evaluate the Side of Dodecagon, Side of Dodecagon given Circumradius formula is defined the straight line joining two adjacent vertices of the Dodecagon and calculated using the circumradius of the Dodecagon. Side of Dodecagon is denoted by S symbol.

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

FAQs on Side of Dodecagon given Circumradius

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

The formula of Side of Dodecagon given Circumradius is expressed as Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Here is an example- 10.35276 = 20/((sqrt(6)+sqrt(2))/2).

How to calculate Side of Dodecagon given Circumradius?

With Circumradius of Dodecagon (r_c) we can find Side of Dodecagon given Circumradius using the formula - Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/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=sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Side of Dodecagon=Height of Dodecagon/(2+sqrt(3))
Side of Dodecagon=Perimeter of Dodecagon/12

Can the Side of Dodecagon given Circumradius be negative?

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

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

Side of Dodecagon given Circumradius 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 Circumradius can be measured.

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