Width 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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✖Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.ⓘ Width of Hendecagon given Area [W]

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Width of Hendecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
W = 2*sqrt(A*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
This formula uses 1 Constants, 3 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)
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

Width of hendecagon - (Measured in Meter) - Width of Hendecagon is the horizontal distance from the left most edge to the right most 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

W = 2*sqrt(A*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11) --> 2*sqrt(235*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)

Evaluating ... ...

W = 17.5988797536418

STEP 3: Convert Result to Output's Unit

17.5988797536418 Meter --> No Conversion Required

FINAL ANSWER

17.5988797536418 ≈ 17.59888 Meter <-- Width of hendecagon

(Calculation completed in 00.004 seconds)

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< Width of Hendecagon Calculators

Width of Hendecagon given Area

LaTeX Go Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)

Width of Hendecagon given Diagonal across Two Sides

LaTeX Go Width of hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)

Width of Hendecagon given Perimeter

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

Width of Hendecagon

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

Width of Hendecagon given Area Formula

LaTeX Go

Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
W = 2*sqrt(A*tan(pi/11)/11)*sin((5*pi)/11)/sin(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 Width of Hendecagon given Area?

Width of Hendecagon given Area calculator uses Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11) to calculate the Width of hendecagon, Width of Hendecagon given Area formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using area. Width of hendecagon is denoted by W symbol.

How to calculate Width of Hendecagon given Area using this online calculator? To use this online calculator for Width of Hendecagon given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Width of Hendecagon given Area calculation can be explained with given input values -> 17.59888 = 2*sqrt(235*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11).

FAQ

What is Width of Hendecagon given Area?

Width of Hendecagon given Area formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using area and is represented as W = 2*sqrt(A*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11) or Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

How to calculate Width of Hendecagon given Area?

Width of Hendecagon given Area formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using area is calculated using Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11). To calculate Width 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 Width of hendecagon?

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

Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
Width of hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Width of hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)

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