Diagonal of Hendecagon across Four Sides given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Four Sides of Hendecagon = Perimeter of Hendecagon/11*sin((4*pi)/11)/sin(pi/11)
d4 = P/11*sin((4*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
Diagonal across Four Sides of Hendecagon - (Measured in Meter) - Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides 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
d4 = P/11*sin((4*pi)/11)/sin(pi/11) --> 55/11*sin((4*pi)/11)/sin(pi/11)
Evaluating ... ...
d4 = 16.1435370755978
STEP 3: Convert Result to Output's Unit
16.1435370755978 Meter --> No Conversion Required
FINAL ANSWER
16.1435370755978 16.14354 Meter <-- Diagonal across Four Sides of Hendecagon
(Calculation completed in 00.004 seconds)

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10+ Diagonal of Hendecagon across Four sides Calculators

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

Diagonal of Hendecagon across Four Sides given Perimeter Formula

Diagonal across Four Sides of Hendecagon = Perimeter of Hendecagon/11*sin((4*pi)/11)/sin(pi/11)
d4 = P/11*sin((4*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 Diagonal of Hendecagon across Four Sides given Perimeter?

Diagonal of Hendecagon across Four Sides given Perimeter calculator uses Diagonal across Four Sides of Hendecagon = Perimeter of Hendecagon/11*sin((4*pi)/11)/sin(pi/11) to calculate the Diagonal across Four Sides of Hendecagon, The Diagonal of Hendecagon across Four Sides given Perimeter formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon, calculated using perimeter. Diagonal across Four Sides of Hendecagon is denoted by d4 symbol.

How to calculate Diagonal of Hendecagon across Four Sides given Perimeter using this online calculator? To use this online calculator for Diagonal of Hendecagon across Four Sides given Perimeter, enter Perimeter of Hendecagon (P) and hit the calculate button. Here is how the Diagonal of Hendecagon across Four Sides given Perimeter calculation can be explained with given input values -> 16.14354 = 55/11*sin((4*pi)/11)/sin(pi/11).

FAQ

What is Diagonal of Hendecagon across Four Sides given Perimeter?
The Diagonal of Hendecagon across Four Sides given Perimeter formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon, calculated using perimeter and is represented as d4 = P/11*sin((4*pi)/11)/sin(pi/11) or Diagonal across Four Sides of Hendecagon = Perimeter of Hendecagon/11*sin((4*pi)/11)/sin(pi/11). Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.
How to calculate Diagonal of Hendecagon across Four Sides given Perimeter?
The Diagonal of Hendecagon across Four Sides given Perimeter formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon, calculated using perimeter is calculated using Diagonal across Four Sides of Hendecagon = Perimeter of Hendecagon/11*sin((4*pi)/11)/sin(pi/11). To calculate Diagonal of Hendecagon across Four Sides 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 Diagonal across Four Sides of Hendecagon?
In this formula, Diagonal across Four Sides of Hendecagon uses Perimeter of Hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)
  • Diagonal across Four Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((4*pi)/11)/sin(pi/11)
  • Diagonal across Four Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((4*pi)/11)/sin(pi/11)
  • Diagonal across Four Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((4*pi)/11)/sin(pi/11)
  • Diagonal across Four Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((4*pi)/11)
  • Diagonal across Four Sides of Hendecagon = Diagonal across Five Sides of Hendecagon*sin((4*pi)/11)/(sin((5*pi)/11))
  • Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11))
  • Diagonal across Four Sides of Hendecagon = Diagonal across Three Sides of Hendecagon*sin((4*pi)/11)/(sin((3*pi)/11))
  • Diagonal across Four Sides of Hendecagon = Diagonal across Two Sides of Hendecagon*sin((4*pi)/11)/sin((2*pi)/11)
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