Side of Hendecagon given Diagonal across Five Sides Calculator

✖Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.ⓘ Diagonal across Five Sides of Hendecagon [d₅]

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✖Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.ⓘ Side of Hendecagon given Diagonal across Five Sides [S]

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Formula

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Side of Hendecagon given Diagonal across Five Sides

Formula

`"S" = ("d"_{"5"}*sin(pi/11))/sin((5*pi)/11)`

Example

`"5.123334m"=("18m"*sin(pi/11))/sin((5*pi)/11)`

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Side of Hendecagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Hendecagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (d₅*sin(pi/11))/sin((5*pi)/11) --> (18*sin(pi/11))/sin((5*pi)/11)

Evaluating ... ...

S = 5.12333417783826

STEP 3: Convert Result to Output's Unit

5.12333417783826 Meter --> No Conversion Required

FINAL ANSWER

5.12333417783826 ≈ 5.123334 Meter <-- Side 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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< 10+ Side of Hendecagon Calculators

Side of Hendecagon given Diagonal across Three Sides

Go Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)

Side of Hendecagon given Diagonal across Four Sides

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

Side of Hendecagon given Diagonal across Five Sides

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

Side of Hendecagon given Diagonal across Two Sides

Go Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)

Side of Hendecagon given Width

Go Side of Hendecagon = Width of hendecagon*sin(pi/11)/sin((5*pi)/11)

Side of Hendecagon

Go Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Side of Hendecagon given Circumradius

Go Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)

Side of Hendecagon given Inradius

Go Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11)

Side of Hendecagon given Height

Go Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22)

Side of Hendecagon given Perimeter

Go Side of Hendecagon = Perimeter of Hendecagon/11

Side of Hendecagon given Diagonal across Five Sides Formula

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

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

How to calculate Side of Hendecagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Side of Hendecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hendecagon (d₅) and hit the calculate button. Here is how the Side of Hendecagon given Diagonal across Five Sides calculation can be explained with given input values -> 5.123334 = (18*sin(pi/11))/sin((5*pi)/11).

FAQ

What is Side of Hendecagon given Diagonal across Five Sides?

Side of Hendecagon given Diagonal across Five Sides formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using diagonal across five sides and is represented as S = (d₅*sin(pi/11))/sin((5*pi)/11) or Side of Hendecagon = (Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11). Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.

How to calculate Side of Hendecagon given Diagonal across Five Sides?

Side of Hendecagon given Diagonal across Five Sides formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using diagonal across five sides is calculated using Side of Hendecagon = (Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11). To calculate Side of Hendecagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Hendecagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five 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 Side of Hendecagon?

In this formula, Side of Hendecagon uses Diagonal across Five Sides of Hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

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

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