Diagonal of Hendecagon across Four Sides Calculator

✖Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.ⓘ Diagonal of Hendecagon across Four Sides [d₄]

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Formula

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Diagonal of Hendecagon across Four Sides

Formula

`"d"_{"4"} = ("S"*sin((4*pi)/11))/sin(pi/11)`

Example

`"16.14354m"=("5m"*sin((4*pi)/11))/sin(pi/11)`

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Diagonal of Hendecagon across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)
d₄ = (S*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.
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

d₄ = (S*sin((4*pi)/11))/sin(pi/11) --> (5*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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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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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 Formula

Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)
d₄ = (S*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?

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

How to calculate Diagonal of Hendecagon across Four Sides using this online calculator? To use this online calculator for Diagonal of Hendecagon across Four Sides, enter Side of Hendecagon (S) and hit the calculate button. Here is how the Diagonal of Hendecagon across Four Sides calculation can be explained with given input values -> 16.14354 = (5*sin((4*pi)/11))/sin(pi/11).

FAQ

What is Diagonal of Hendecagon across Four Sides?

Diagonal of Hendecagon across four sides formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon and is represented as d₄ = (S*sin((4*pi)/11))/sin(pi/11) or Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*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 Four Sides?

Diagonal of Hendecagon across four sides formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon is calculated using Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11). To calculate Diagonal of Hendecagon across Four 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 Four Sides of Hendecagon?

In this formula, Diagonal across Four 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 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 = Perimeter of Hendecagon/11*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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