Width of Dodecagon given Diagonal across Three Sides Calculator

✖Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.ⓘ Diagonal Across Three Sides of Dodecagon [d₃]

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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 Diagonal across Three Sides [w]

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Width of Dodecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
w = (2+sqrt(3))*d₃/(sqrt(3)+1)
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.
Diagonal Across Three Sides of Dodecagon - (Measured in Meter) - Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal Across Three Sides of Dodecagon: 27 Meter --> 27 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (2+sqrt(3))*d₃/(sqrt(3)+1) --> (2+sqrt(3))*27/(sqrt(3)+1)

Evaluating ... ...

w = 36.8826859021798

STEP 3: Convert Result to Output's Unit

36.8826859021798 Meter --> No Conversion Required

FINAL ANSWER

36.8826859021798 ≈ 36.88269 Meter <-- Width of Dodecagon

(Calculation completed in 00.007 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 given Diagonal across Three Sides Formula

LaTeX Go

Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
w = (2+sqrt(3))*d₃/(sqrt(3)+1)

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 Diagonal across Three Sides?

Width of Dodecagon given Diagonal across Three Sides calculator uses Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to calculate the Width of Dodecagon, The Width of Dodecagon given Diagonal across Three Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across three sides. Width of Dodecagon is denoted by w symbol.

How to calculate Width of Dodecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Width of Dodecagon given Diagonal across Three Sides, enter Diagonal Across Three Sides of Dodecagon (d₃) and hit the calculate button. Here is how the Width of Dodecagon given Diagonal across Three Sides calculation can be explained with given input values -> 36.88269 = (2+sqrt(3))*27/(sqrt(3)+1).

FAQ

What is Width of Dodecagon given Diagonal across Three Sides?

The Width of Dodecagon given Diagonal across Three Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across three sides and is represented as w = (2+sqrt(3))*d₃/(sqrt(3)+1) or Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.

How to calculate Width of Dodecagon given Diagonal across Three Sides?

The Width of Dodecagon given Diagonal across Three Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across three sides is calculated using Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). To calculate Width of Dodecagon given Diagonal across Three Sides, you need Diagonal Across Three Sides of Dodecagon (d₃). With our tool, you need to enter the respective value for Diagonal Across Three Sides 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 Diagonal Across Three Sides 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 = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

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