Width of Hendecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
W = (P/11)*sin((5*pi)/11)/sin(pi/11)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
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.
Perimeter of Hendecagon - (Measured in Meter) - Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hendecagon: 55 Meter --> 55 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (P/11)*sin((5*pi)/11)/sin(pi/11) --> (55/11)*sin((5*pi)/11)/sin(pi/11)
Evaluating ... ...
W = 17.5666854583307
STEP 3: Convert Result to Output's Unit
17.5666854583307 Meter --> No Conversion Required
FINAL ANSWER
17.5666854583307 17.56669 Meter <-- Width of hendecagon
(Calculation completed in 00.004 seconds)

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Width of Hendecagon Calculators

Width of Hendecagon given Area
​ LaTeX ​ Go Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
Width of Hendecagon given Diagonal across Two Sides
​ LaTeX ​ Go Width of hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)
Width of Hendecagon given Perimeter
​ LaTeX ​ Go Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
Width of Hendecagon
​ LaTeX ​ Go Width of hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides
​ LaTeX ​ Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Area of Hendecagon given Height
​ LaTeX ​ Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
Area of Hendecagon given Perimeter
​ LaTeX ​ Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))
Area of Hendecagon
​ LaTeX ​ Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Width of Hendecagon given Perimeter Formula

​LaTeX ​Go
Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
W = (P/11)*sin((5*pi)/11)/sin(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 Width of Hendecagon given Perimeter?

Width of Hendecagon given Perimeter calculator uses Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11) to calculate the Width of hendecagon, Width of Hendecagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon, calculated using perimeter. Width of hendecagon is denoted by W symbol.

How to calculate Width of Hendecagon given Perimeter using this online calculator? To use this online calculator for Width of Hendecagon given Perimeter, enter Perimeter of Hendecagon (P) and hit the calculate button. Here is how the Width of Hendecagon given Perimeter calculation can be explained with given input values -> 17.56669 = (55/11)*sin((5*pi)/11)/sin(pi/11).

FAQ

What is Width of Hendecagon given Perimeter?
Width of Hendecagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon, calculated using perimeter and is represented as W = (P/11)*sin((5*pi)/11)/sin(pi/11) or Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11). Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.
How to calculate Width of Hendecagon given Perimeter?
Width of Hendecagon given Perimeter formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon, calculated using perimeter is calculated using Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11). To calculate Width of Hendecagon given Perimeter, you need Perimeter of Hendecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Width of hendecagon?
In this formula, Width of hendecagon uses Perimeter of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
  • Width of hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
  • Width of hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)
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