Area of Hendecagon given Height Calculator

✖Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Hendecagon [h]

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

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Area of Hendecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
A = 11*(h*tan(pi/22))^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.
Height of Hendecagon - (Measured in Meter) - Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Hendecagon: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 11*(h*tan(pi/22))^2/tan(pi/11) --> 11*(17*tan(pi/22))^2/tan(pi/11)

Evaluating ... ...

A = 223.811265206999

STEP 3: Convert Result to Output's Unit

223.811265206999 Square Meter --> No Conversion Required

FINAL ANSWER

223.811265206999 ≈ 223.8113 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< 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 given Height Formula

LaTeX Go

Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
A = 11*(h*tan(pi/22))^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 given Height?

Area of Hendecagon given Height calculator uses Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11) to calculate the Area of Hendecagon, Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon given Height using this online calculator? To use this online calculator for Area of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button. Here is how the Area of Hendecagon given Height calculation can be explained with given input values -> 223.8113 = 11*(17*tan(pi/22))^2/tan(pi/11).

FAQ

What is Area of Hendecagon given Height?

Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height and is represented as A = 11*(h*tan(pi/22))^2/tan(pi/11) or Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Area of Hendecagon given Height?

Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height is calculated using Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). To calculate Area of Hendecagon given Height, you need Height of Hendecagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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