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Width of Dodecagon given Circumradius Formula

GoWidth of Dodecagon Formula

GoWidth of Dodecagon given Area Formula

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The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon. Check FAQs

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

w - Width of Dodecagon?r_c - Circumradius of Dodecagon?

Width of Dodecagon given Circumradius Example

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

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

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

38.637 = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

38.637m = (2 + \sqrt{3}) \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

38.637 = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

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Width of Dodecagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = (2 + \sqrt{3}) \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Prepare to Evaluate

∴

w = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Evaluate

∴

w = 38.6370330515627m

LAST Step Rounding Answer

∴

w = 38.637m

Width of Dodecagon given Circumradius Formula Elements

Variables

Functions

Width of Dodecagon

The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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 Width of Dodecagon

Go Width of Dodecagon

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

Go Width of Dodecagon given Area

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

Go Width of Dodecagon given Diagonal across Six Sides

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

Go Width of Dodecagon given Diagonal across Five Sides

w = \frac{d 5}{1}

How to Evaluate Width of Dodecagon given Circumradius?

Width of Dodecagon given Circumradius evaluator uses Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to evaluate the Width of Dodecagon, The Width of Dodecagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon, calculated using circumradius. Width of Dodecagon is denoted by w symbol.

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

FAQs on Width of Dodecagon given Circumradius

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

The formula of Width of Dodecagon given Circumradius is expressed as Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Here is an example- 38.63703 = (2+sqrt(3))*20/((sqrt(6)+sqrt(2))/2).

How to calculate Width of Dodecagon given Circumradius?

With Circumradius of Dodecagon (r_c) we can find Width of Dodecagon given Circumradius using the formula - Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Dodecagon?

Here are the different ways to Calculate Width of Dodecagon-

Width of Dodecagon=(2+sqrt(3))*Side of Dodecagon
Width of Dodecagon=sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon=(2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

Can the Width of Dodecagon given Circumradius be negative?

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

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

Width 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 Width of Dodecagon given Circumradius can be measured.

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