Side 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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✖Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.ⓘ Side of Dodecagon given Area [S]

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Side of Dodecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Dodecagon = sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
S = sqrt(A/(3*(2+sqrt(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

Side of Dodecagon - (Measured in Meter) - Side of Dodecagon is the length of the straight line joining two adjacent vertices of the 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

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

Evaluating ... ...

S = 10.001718111119

STEP 3: Convert Result to Output's Unit

10.001718111119 Meter --> No Conversion Required

FINAL ANSWER

10.001718111119 ≈ 10.00172 Meter <-- Side of Dodecagon

(Calculation completed in 00.004 seconds)

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< Side of Dodecagon Calculators

Side of Dodecagon given Diagonal across Four Sides

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

Side of Dodecagon given Diagonal across Two Sides

LaTeX Go Side of Dodecagon = Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)

Side of Dodecagon given Diagonal across Three Sides

LaTeX Go Side of Dodecagon = Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Side of Dodecagon given Diagonal across Five Sides

LaTeX Go Side of Dodecagon = Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

< Side of Dodecagon Calculators

Side of Dodecagon given Circumradius

LaTeX Go Side of Dodecagon = Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)

Side of Dodecagon given Area

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

Side of Dodecagon given Height

LaTeX Go Side of Dodecagon = Height of Dodecagon/(2+sqrt(3))

Side of Dodecagon given Perimeter

LaTeX Go Side of Dodecagon = Perimeter of Dodecagon/12

Side of Dodecagon given Area Formula

LaTeX Go

Side of Dodecagon = sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
S = sqrt(A/(3*(2+sqrt(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 Side of Dodecagon given Area?

Side of Dodecagon given Area calculator uses Side of Dodecagon = sqrt(Area of Dodecagon/(3*(2+sqrt(3)))) to calculate the Side of Dodecagon, Side of Dodecagon given Area formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using the area. Side of Dodecagon is denoted by S symbol.

How to calculate Side of Dodecagon given Area using this online calculator? To use this online calculator for Side of Dodecagon given Area, enter Area of Dodecagon (A) and hit the calculate button. Here is how the Side of Dodecagon given Area calculation can be explained with given input values -> 10.00172 = sqrt(1120/(3*(2+sqrt(3)))).

FAQ

What is Side of Dodecagon given Area?

Side of Dodecagon given Area formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using the area and is represented as S = sqrt(A/(3*(2+sqrt(3)))) or Side of Dodecagon = sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

How to calculate Side of Dodecagon given Area?

Side of Dodecagon given Area formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using the area is calculated using Side of Dodecagon = sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). To calculate Side 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 Side of Dodecagon?

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

Side of Dodecagon = Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Side of Dodecagon = Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Side of Dodecagon = Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

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