Side of Hendecagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11)
S = W*sin(pi/11)/sin((5*pi)/11)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
Width of hendecagon - (Measured in Meter) - Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Width of hendecagon: 18 Meter --> 18 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = W*sin(pi/11)/sin((5*pi)/11) --> 18*sin(pi/11)/sin((5*pi)/11)
Evaluating ... ...
S = 5.12333417783826
STEP 3: Convert Result to Output's Unit
5.12333417783826 Meter --> No Conversion Required
FINAL ANSWER
5.12333417783826 5.123334 Meter <-- Side of Hendecagon
(Calculation completed in 00.004 seconds)

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10+ Side of Hendecagon Calculators

Side of Hendecagon given Diagonal across Three Sides
Go Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
Side of Hendecagon given Diagonal across Four Sides
Go Side of Hendecagon = (Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)
Side of Hendecagon given Diagonal across Five Sides
Go Side of Hendecagon = (Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)
Side of Hendecagon given Diagonal across Two Sides
Go Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
Side of Hendecagon given Width
Go Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11)
Side of Hendecagon
Go Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Side of Hendecagon given Circumradius
Go Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
Side of Hendecagon given Inradius
Go Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11)
Side of Hendecagon given Height
Go Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22)
Side of Hendecagon given Perimeter
Go Side of Hendecagon = Perimeter of Hendecagon/11

Side of Hendecagon given Width Formula

Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11)
S = W*sin(pi/11)/sin((5*pi)/11)

What is Hendecagon?

A Hendecagon is an 11-sided polygon, also variously known as an undecagon or unidecagon. The term "hendecagon" is preferable to the other two since it uses the Greek prefix and suffix instead of mixing a Roman prefix and Greek suffix. A Hendecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular Hendecagon.

How to Calculate Side of Hendecagon given Width?

Side of Hendecagon given Width calculator uses Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11) to calculate the Side of Hendecagon, The Side of Hendecagon given Width formula is defined as straight line connecting two adjacent vertices of Hendecagon, calculated using width. Side of Hendecagon is denoted by S symbol.

How to calculate Side of Hendecagon given Width using this online calculator? To use this online calculator for Side of Hendecagon given Width, enter Width of hendecagon (W) and hit the calculate button. Here is how the Side of Hendecagon given Width calculation can be explained with given input values -> 5.123334 = 18*sin(pi/11)/sin((5*pi)/11).

FAQ

What is Side of Hendecagon given Width?
The Side of Hendecagon given Width formula is defined as straight line connecting two adjacent vertices of Hendecagon, calculated using width and is represented as S = W*sin(pi/11)/sin((5*pi)/11) or Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11). Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.
How to calculate Side of Hendecagon given Width?
The Side of Hendecagon given Width formula is defined as straight line connecting two adjacent vertices of Hendecagon, calculated using width is calculated using Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11). To calculate Side of Hendecagon given Width, you need Width of hendecagon (W). With our tool, you need to enter the respective value for Width of hendecagon 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 Hendecagon?
In this formula, Side of Hendecagon uses Width of hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
  • Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
  • Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
  • Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
  • Side of Hendecagon = (Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)
  • Side of Hendecagon = (Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)
  • Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22)
  • Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11)
  • Side of Hendecagon = Perimeter of Hendecagon/11
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