Side of Hendecagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
S = sqrt((4*A*tan(pi/11))/11)
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Area of Hendecagon: 235 Square Meter --> 235 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt((4*A*tan(pi/11))/11) --> sqrt((4*235*tan(pi/11))/11)
Evaluating ... ...
S = 5.00916345186104
STEP 3: Convert Result to Output's Unit
5.00916345186104 Meter --> No Conversion Required
FINAL ANSWER
5.00916345186104 5.009163 Meter <-- Side of Hendecagon
(Calculation completed in 00.020 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Side of Hendecagon Calculators

Side of Hendecagon given Diagonal across Three Sides
​ LaTeX ​ Go Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)
Side of Hendecagon given Diagonal across Two Sides
​ LaTeX ​ Go Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
Side of Hendecagon
​ LaTeX ​ Go Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Side of Hendecagon given Circumradius
​ LaTeX ​ Go Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)

Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides
​ LaTeX ​ Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Area of Hendecagon given Height
​ LaTeX ​ Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
Area of Hendecagon given Perimeter
​ LaTeX ​ Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))
Area of Hendecagon
​ LaTeX ​ Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Side of Hendecagon Formula

​LaTeX ​Go
Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
S = sqrt((4*A*tan(pi/11))/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?

Side of Hendecagon calculator uses Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11) to calculate the Side of Hendecagon, The Side of Hendecagon given Area formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using area. Side of Hendecagon is denoted by S symbol.

How to calculate Side of Hendecagon using this online calculator? To use this online calculator for Side of Hendecagon, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Side of Hendecagon calculation can be explained with given input values -> 5.009163 = sqrt((4*235*tan(pi/11))/11).

FAQ

What is Side of Hendecagon?
The Side of Hendecagon given Area formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using area and is represented as S = sqrt((4*A*tan(pi/11))/11) or Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.
How to calculate Side of Hendecagon?
The Side of Hendecagon given Area formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using area is calculated using Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11). To calculate Side of Hendecagon, you need Area of Hendecagon (A). With our tool, you need to enter the respective value for Area 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 Area of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
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