Area of Hendecagon Calculator

✖Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.ⓘ Side of Hendecagon [S]

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✖Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.ⓘ Area of Hendecagon [A]

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Area of Hendecagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)
A = 11/4*S^2/tan(pi/11)
This formula uses 1 Constants, 1 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)

Variables Used

Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by 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

A = 11/4*S^2/tan(pi/11) --> 11/4*5^2/tan(pi/11)

Evaluating ... ...

A = 234.140997673636

STEP 3: Convert Result to Output's Unit

234.140997673636 Square Meter --> No Conversion Required

FINAL ANSWER

234.140997673636 ≈ 234.141 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Area of Hendecagon Calculators

Area of Hendecagon given Diagonal across Five Sides

LaTeX Go Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Diagonal across Four Sides

LaTeX Go Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Circumradius

LaTeX Go Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))

Area of Hendecagon given Inradius

LaTeX Go Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2

< 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)

Area of Hendecagon Formula

LaTeX Go

Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)
A = 11/4*S^2/tan(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 Area of Hendecagon?

Area of Hendecagon calculator uses Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11) to calculate the Area of Hendecagon, The Area of Hendecagon formula is defined as the amount of space covered by or occupied by Hendecagon in the plane. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon using this online calculator? To use this online calculator for Area of Hendecagon, enter Side of Hendecagon (S) and hit the calculate button. Here is how the Area of Hendecagon calculation can be explained with given input values -> 234.141 = 11/4*5^2/tan(pi/11).

FAQ

What is Area of Hendecagon?

The Area of Hendecagon formula is defined as the amount of space covered by or occupied by Hendecagon in the plane and is represented as A = 11/4*S^2/tan(pi/11) or Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11). Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.

How to calculate Area of Hendecagon?

The Area of Hendecagon formula is defined as the amount of space covered by or occupied by Hendecagon in the plane is calculated using Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11). To calculate Area of Hendecagon, 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 Area of Hendecagon?

In this formula, Area of Hendecagon uses Side of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))
Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2
Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

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