Perimeter of Hendecagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11))
P = 11*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 - 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
Perimeter of Hendecagon - (Measured in Meter) - Perimeter of Hendecagon is the total distance around the edge of the 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
P = 11*W*(sin((pi)/11)/sin((5*pi)/11)) --> 11*18*(sin((pi)/11)/sin((5*pi)/11))
Evaluating ... ...
P = 56.3566759562209
STEP 3: Convert Result to Output's Unit
56.3566759562209 Meter --> No Conversion Required
FINAL ANSWER
56.3566759562209 56.35668 Meter <-- Perimeter of Hendecagon
(Calculation completed in 00.004 seconds)

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10+ Perimeter of Hendecagon Calculators

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

Perimeter of Hendecagon given Width Formula

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

Perimeter of Hendecagon given Width calculator uses Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11)) to calculate the Perimeter of Hendecagon, The Perimeter of Hendecagon given Width formula is defined as the total distance around the edge of the Hendecagon, calculated using width. Perimeter of Hendecagon is denoted by P symbol.

How to calculate Perimeter of Hendecagon given Width using this online calculator? To use this online calculator for Perimeter of Hendecagon given Width, enter Width of hendecagon (W) and hit the calculate button. Here is how the Perimeter of Hendecagon given Width calculation can be explained with given input values -> 53.22575 = 11*18*(sin((pi)/11)/sin((5*pi)/11)).

FAQ

What is Perimeter of Hendecagon given Width?
The Perimeter of Hendecagon given Width formula is defined as the total distance around the edge of the Hendecagon, calculated using width and is represented as P = 11*W*(sin((pi)/11)/sin((5*pi)/11)) or Perimeter of Hendecagon = 11*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 Perimeter of Hendecagon given Width?
The Perimeter of Hendecagon given Width formula is defined as the total distance around the edge of the Hendecagon, calculated using width is calculated using Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11)). To calculate Perimeter 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 Perimeter of Hendecagon?
In this formula, Perimeter of Hendecagon uses Width of hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Hendecagon = 11*Side of Hendecagon
  • Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)
  • Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11)
  • Perimeter of Hendecagon = 22*Height of Hendecagon*tan(pi/22)
  • Perimeter of Hendecagon = 22*Inradius of Hendecagon*tan(pi/11)
  • Perimeter of Hendecagon = 11*(Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)
  • Perimeter of Hendecagon = 11*(Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)
  • Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
  • Perimeter of Hendecagon = 11*(Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
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