Width of Dodecagon given Area Calculator

✖Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.ⓘ Area of Dodecagon [A]

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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.ⓘ Width of Dodecagon given Area [w]

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Width of Dodecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
w = sqrt(((2+sqrt(3))*A)/3)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Width of Dodecagon - (Measured in Meter) - The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.
Area of Dodecagon - (Measured in Square Meter) - Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Dodecagon: 1120 Square Meter --> 1120 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt(((2+sqrt(3))*A)/3) --> sqrt(((2+sqrt(3))*1120)/3)

Evaluating ... ...

w = 37.3269201536779

STEP 3: Convert Result to Output's Unit

37.3269201536779 Meter --> No Conversion Required

FINAL ANSWER

37.3269201536779 ≈ 37.32692 Meter <-- Width of Dodecagon

(Calculation completed in 00.006 seconds)

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< Width of Dodecagon Calculators

Width of Dodecagon given Diagonal across Six Sides

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

Width of Dodecagon given Area

LaTeX Go Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)

Width of Dodecagon

LaTeX Go Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon

Width of Dodecagon given Diagonal across Five Sides

LaTeX Go Width of Dodecagon = Diagonal Across Five Sides of Dodecagon/1

< Width of Dodecagon Calculators

Width of Dodecagon given Area

LaTeX Go Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)

Width of Dodecagon

LaTeX Go Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon

Width of Dodecagon given Inradius

LaTeX Go Width of Dodecagon = 2*Inradius of Dodecagon

Width of Dodecagon given Area Formula

LaTeX Go

Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
w = sqrt(((2+sqrt(3))*A)/3)

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Width of Dodecagon given Area?

Width of Dodecagon given Area calculator uses Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3) to calculate 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 calculate Width of Dodecagon given Area using this online calculator? To use this online calculator for Width of Dodecagon given Area, enter Area of Dodecagon (A) and hit the calculate button. Here is how the Width of Dodecagon given Area calculation can be explained with given input values -> 37.32692 = sqrt(((2+sqrt(3))*1120)/3).

FAQ

What is Width of Dodecagon given Area?

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 and is represented as w = sqrt(((2+sqrt(3))*A)/3) or Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

How to calculate Width of Dodecagon given Area?

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 is calculated using Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). To calculate Width of Dodecagon given Area, you need Area of Dodecagon (A). With our tool, you need to enter the respective value for Area of Dodecagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Width of Dodecagon?

In this formula, Width of Dodecagon uses Area of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
Width of Dodecagon = Diagonal Across Five Sides of Dodecagon/1

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