Perimeter of Hendecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
P = 11*(d3*sin(pi/11))/sin((3*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.
Diagonal across Three Sides of Hendecagon - (Measured in Meter) - Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Three Sides of Hendecagon: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 11*(d3*sin(pi/11))/sin((3*pi)/11) --> 11*(13*sin(pi/11))/sin((3*pi)/11)
Evaluating ... ...
P = 53.3083404813663
STEP 3: Convert Result to Output's Unit
53.3083404813663 Meter --> No Conversion Required
FINAL ANSWER
53.3083404813663 53.30834 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 Diagonal across Three Sides Formula

Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
P = 11*(d3*sin(pi/11))/sin((3*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 Diagonal across Three Sides?

Perimeter of Hendecagon given Diagonal across Three Sides calculator uses Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11) to calculate the Perimeter of Hendecagon, The Perimeter of Hendecagon given Diagonal across Three Sides formula is defined as the total distance around the edge of the Hendecagon, calculated using diagonal across three sides. Perimeter of Hendecagon is denoted by P symbol.

How to calculate Perimeter of Hendecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Perimeter of Hendecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hendecagon (d3) and hit the calculate button. Here is how the Perimeter of Hendecagon given Diagonal across Three Sides calculation can be explained with given input values -> 53.30834 = 11*(13*sin(pi/11))/sin((3*pi)/11).

FAQ

What is Perimeter of Hendecagon given Diagonal across Three Sides?
The Perimeter of Hendecagon given Diagonal across Three Sides formula is defined as the total distance around the edge of the Hendecagon, calculated using diagonal across three sides and is represented as P = 11*(d3*sin(pi/11))/sin((3*pi)/11) or Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11). Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.
How to calculate Perimeter of Hendecagon given Diagonal across Three Sides?
The Perimeter of Hendecagon given Diagonal across Three Sides formula is defined as the total distance around the edge of the Hendecagon, calculated using diagonal across three sides is calculated using Perimeter of Hendecagon = 11*(Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11). To calculate Perimeter of Hendecagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Hendecagon (d3). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Diagonal across Three Sides 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 Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
  • Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11))
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