Height of Dodecagon given Area Calculator

✖Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.ⓘ Height of Dodecagon given Area [h]

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Formula

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Height of Dodecagon given Area

Formula

`"h" = sqrt(((2+sqrt(3))*"A")/3)`

Example

`"37.32692m"=sqrt(((2+sqrt(3))*"1120m²")/3)`

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Height of Dodecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
h = 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

Height of Dodecagon - (Measured in Meter) - Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides 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

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

Evaluating ... ...

h = 37.3269201536779

STEP 3: Convert Result to Output's Unit

37.3269201536779 Meter --> No Conversion Required

FINAL ANSWER

37.3269201536779 ≈ 37.32692 Meter <-- Height of Dodecagon

(Calculation completed in 00.004 seconds)

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< 11 Height of Dodecagon Calculators

Height of Dodecagon given Diagonal across Four Sides

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

Height of Dodecagon given Diagonal across Two Sides

Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)

Height of Dodecagon given Diagonal across Six Sides

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

Height of Dodecagon given Circumradius

Go Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)

Height of Dodecagon given Diagonal across Three Sides

Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Height of Dodecagon given Area

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

Height of Dodecagon given Perimeter

Go Height of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12

Height of Dodecagon

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

Height of Dodecagon given Diagonal across Five Sides

Go Height of Dodecagon = Diagonal Across Five Sides of Dodecagon/1

Height of Dodecagon given Inradius

Go Height of Dodecagon = 2*Inradius of Dodecagon

Height of Dodecagon given Width

Go Height of Dodecagon = Width of Dodecagon/1

< 3 Height of Dodecagon Calculators

Height of Dodecagon given Area

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

Height of Dodecagon

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

Height of Dodecagon given Inradius

Go Height of Dodecagon = 2*Inradius of Dodecagon

Height of Dodecagon given Area Formula

Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
h = 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 Height of Dodecagon given Area?

Height of Dodecagon given Area calculator uses Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3) to calculate the Height of Dodecagon, The Height of Dodecagon given Area formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using area. Height of Dodecagon is denoted by h symbol.

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

FAQ

What is Height of Dodecagon given Area?

The Height of Dodecagon given Area formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using area and is represented as h = sqrt(((2+sqrt(3))*A)/3) or Height 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 Height of Dodecagon given Area?

The Height of Dodecagon given Area formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using area is calculated using Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). To calculate Height 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 Height of Dodecagon?

In this formula, Height of Dodecagon uses Area of Dodecagon. We can use 12 other way(s) to calculate the same, which is/are as follows -

Height of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Height of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Height of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
Height of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Height of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
Height of Dodecagon = 2*Inradius of Dodecagon
Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
Height of Dodecagon = Width of Dodecagon/1
Height of Dodecagon = Diagonal Across Five Sides of Dodecagon/1
Height of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Height of Dodecagon = 2*Inradius of Dodecagon

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