Diagonal of Hendecagon across Five Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
d5 = (S*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
Diagonal across Five Sides of Hendecagon - (Measured in Meter) - Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.
Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Side of Hendecagon: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d5 = (S*sin((5*pi)/11))/sin(pi/11) --> (5*sin((5*pi)/11))/sin(pi/11)
Evaluating ... ...
d5 = 17.5666854583307
STEP 3: Convert Result to Output's Unit
17.5666854583307 Meter --> No Conversion Required
FINAL ANSWER
17.5666854583307 17.56669 Meter <-- Diagonal across Five Sides of Hendecagon
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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10+ Diagonal of Hendecagon across Five sides Calculators

Diagonal of Hendecagon across Five Sides given Area
Go Diagonal across Five Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((5*pi)/11)/sin(pi/11)
Diagonal of Hendecagon across Five Sides given Inradius
Go Diagonal across Five Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11)
Diagonal of Hendecagon across Five Sides given Height
Go Diagonal across Five Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)
Diagonal of Hendecagon across Five Sides given Diagonal across Four Sides
Go Diagonal across Five Sides of Hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11))
Diagonal of Hendecagon across Five Sides given Diagonal across Three Sides
Go Diagonal across Five Sides of Hendecagon = Diagonal across Three Sides of Hendecagon*sin((5*pi)/11)/(sin((3*pi)/11))
Diagonal of Hendecagon across Five Sides given Diagonal across Two Sides
Go Diagonal across Five Sides of Hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)
Diagonal of Hendecagon across Five Sides given Perimeter
Go Diagonal across Five Sides of Hendecagon = Perimeter of Hendecagon/11*sin((5*pi)/11)/sin(pi/11)
Diagonal of Hendecagon across Five Sides
Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Diagonal of Hendecagon across Five Sides given Circumradius
Go Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11)
Diagonal of Hendecagon across Five Sides given Width
Go Diagonal across Five Sides of Hendecagon = Width of hendecagon/1

Diagonal of Hendecagon across Five Sides Formula

Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
d5 = (S*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 Diagonal of Hendecagon across Five Sides?

Diagonal of Hendecagon across Five Sides calculator uses Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11) to calculate the Diagonal across Five Sides of Hendecagon, Diagonal of Hendecagon across Five Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon. Diagonal across Five Sides of Hendecagon is denoted by d5 symbol.

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

FAQ

What is Diagonal of Hendecagon across Five Sides?
Diagonal of Hendecagon across Five Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon and is represented as d5 = (S*sin((5*pi)/11))/sin(pi/11) or Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11). Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
How to calculate Diagonal of Hendecagon across Five Sides?
Diagonal of Hendecagon across Five Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon is calculated using Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11). To calculate Diagonal of Hendecagon across Five Sides, you need Side of Hendecagon (S). With our tool, you need to enter the respective value for Side 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 Five Sides of Hendecagon?
In this formula, Diagonal across Five Sides of Hendecagon uses Side of Hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Five Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((5*pi)/11)/sin(pi/11)
  • Diagonal across Five Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)
  • Diagonal across Five Sides of Hendecagon = Perimeter of Hendecagon/11*sin((5*pi)/11)/sin(pi/11)
  • Diagonal across Five Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11)
  • Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11)
  • Diagonal across Five Sides of Hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11))
  • Diagonal across Five Sides of Hendecagon = Diagonal across Three Sides of Hendecagon*sin((5*pi)/11)/(sin((3*pi)/11))
  • Diagonal across Five Sides of Hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)
  • Diagonal across Five Sides of Hendecagon = Width of hendecagon/1
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