Side of Dodecagon given Height Calculator

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

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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 Height [S]

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Side of Dodecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Dodecagon = Height of Dodecagon/(2+sqrt(3))
S = h/(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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Dodecagon: 37 Meter --> 37 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = h/(2+sqrt(3)) --> 37/(2+sqrt(3))

Evaluating ... ...

S = 9.91412011995154

STEP 3: Convert Result to Output's Unit

9.91412011995154 Meter --> No Conversion Required

FINAL ANSWER

9.91412011995154 ≈ 9.91412 Meter <-- Side of Dodecagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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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 Height Formula

LaTeX Go

Side of Dodecagon = Height of Dodecagon/(2+sqrt(3))
S = h/(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 Height?

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

How to calculate Side of Dodecagon given Height using this online calculator? To use this online calculator for Side of Dodecagon given Height, enter Height of Dodecagon (h) and hit the calculate button. Here is how the Side of Dodecagon given Height calculation can be explained with given input values -> 9.91412 = 37/(2+sqrt(3)).

FAQ

What is Side of Dodecagon given Height?

The Side of Dodecagon given Height formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using Height and is represented as S = h/(2+sqrt(3)) or Side of Dodecagon = Height of Dodecagon/(2+sqrt(3)). Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

How to calculate Side of Dodecagon given Height?

The Side of Dodecagon given Height formula is defined as the straight line joining two adjacent vertices of the Dodecagon, calculated using Height is calculated using Side of Dodecagon = Height of Dodecagon/(2+sqrt(3)). To calculate Side of Dodecagon given Height, you need Height of Dodecagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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