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Width of Dodecagon given Area Formula

GoWidth of Dodecagon Formula

GoWidth of Dodecagon given Inradius 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 = \sqrt{\frac{(2 + \sqrt{3}) \cdot A}{3}}

w - Width of Dodecagon?A - Area of Dodecagon?

Width of Dodecagon given Area Example

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

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

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

37.3269 = \sqrt{\frac{(2 + \sqrt{3}) \cdot 1120}{3}}

37.3269m = \sqrt{\frac{(2 + \sqrt{3}) \cdot 1120m²}{3}}

37.3269 = \sqrt{\frac{(2 + \sqrt{3}) \cdot 1120}{3}}

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Width of Dodecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \sqrt{\frac{(2 + \sqrt{3}) \cdot 1120m²}{3}}

Next Step Prepare to Evaluate

∴

w = \sqrt{\frac{(2 + \sqrt{3}) \cdot 1120}{3}}

Next Step Evaluate

∴

w = 37.3269201536779m

LAST Step Rounding Answer

∴

w = 37.3269m

Width of Dodecagon given Area 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

Area of Dodecagon

Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Inradius

w = 2 \cdot r i

How to Evaluate Width of Dodecagon given Area?

Width of Dodecagon given Area evaluator uses Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3) to evaluate the Width of Dodecagon, The Width of Dodecagon given Area formula is defined as the horizontal distance from the leftmost edge to the rightmost edge of the regular Dodecagon, calculated using its area. Width of Dodecagon is denoted by w symbol.

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

FAQs on Width of Dodecagon given Area

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

The formula of Width of Dodecagon given Area is expressed as Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). Here is an example- 37.32692 = sqrt(((2+sqrt(3))*1120)/3).

How to calculate Width of Dodecagon given Area?

With Area of Dodecagon (A) we can find Width of Dodecagon given Area using the formula - Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). 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=2*Inradius of Dodecagon

Can the Width of Dodecagon given Area be negative?

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

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

Width of Dodecagon given Area 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 Area can be measured.

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