Perimeter of Hendecagon given Area Calculator

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

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✖Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.ⓘ Perimeter of Hendecagon given Area [P]

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Perimeter of Hendecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)
P = 11*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

Perimeter of Hendecagon - (Measured in Meter) - Perimeter of Hendecagon is the total distance around the edge of the 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

P = 11*sqrt((4*A*tan(pi/11))/11) --> 11*sqrt((4*235*tan(pi/11))/11)

Evaluating ... ...

P = 55.1007979704715

STEP 3: Convert Result to Output's Unit

55.1007979704715 Meter --> No Conversion Required

FINAL ANSWER

55.1007979704715 ≈ 55.1008 Meter <-- Perimeter 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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Indian Institute of Information Technology (IIIT), Bhopal

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< Perimeter of Hendecagon Calculators

Perimeter of Hendecagon given Area

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

Perimeter of Hendecagon given Circumradius

LaTeX Go Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11)

Perimeter of Hendecagon given Height

LaTeX Go Perimeter of Hendecagon = 22*Height of Hendecagon*tan(pi/22)

Perimeter of Hendecagon

LaTeX Go Perimeter of Hendecagon = 11*Side of Hendecagon

< 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)

Perimeter of Hendecagon given Area Formula

LaTeX Go

Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)
P = 11*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 Perimeter of Hendecagon given Area?

Perimeter of Hendecagon given Area calculator uses Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11) to calculate the Perimeter of Hendecagon, Perimeter of Hendecagon given Area formula is defined as the total distance around the edge of the Hendecagon, calculated using area. Perimeter of Hendecagon is denoted by P symbol.

How to calculate Perimeter of Hendecagon given Area using this online calculator? To use this online calculator for Perimeter of Hendecagon given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Perimeter of Hendecagon given Area calculation can be explained with given input values -> 55.1008 = 11*sqrt((4*235*tan(pi/11))/11).

FAQ

What is Perimeter of Hendecagon given Area?

Perimeter of Hendecagon given Area formula is defined as the total distance around the edge of the Hendecagon, calculated using area and is represented as P = 11*sqrt((4*A*tan(pi/11))/11) or Perimeter of Hendecagon = 11*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 Perimeter of Hendecagon given Area?

Perimeter of Hendecagon given Area formula is defined as the total distance around the edge of the Hendecagon, calculated using area is calculated using Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11). To calculate Perimeter of Hendecagon given Area, 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 Perimeter of Hendecagon?

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

Perimeter of Hendecagon = 11*Side of Hendecagon
Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11)
Perimeter of Hendecagon = 22*Height of Hendecagon*tan(pi/22)

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