Width of Hendecagon given Inradius Calculator

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

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Formula

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Width of Hendecagon given Inradius

Formula

`"W" = 2*tan(pi/11)*"r"_{"i"}*sin((5*pi)/11)/sin(pi/11)`

Example

`"16.50574m"=2*tan(pi/11)*"8m"*sin((5*pi)/11)/sin(pi/11)`

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Width of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11)
W = 2*tan(pi/11)*r_i*sin((5*pi)/11)/sin(pi/11)
This formula uses 1 Constants, 2 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)

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.
Inradius of Hendecagon - (Measured in Meter) - The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Hendecagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = 2*tan(pi/11)*r_i*sin((5*pi)/11)/sin(pi/11) --> 2*tan(pi/11)*8*sin((5*pi)/11)/sin(pi/11)

Evaluating ... ...

W = 16.5057415797793

STEP 3: Convert Result to Output's Unit

16.5057415797793 Meter --> No Conversion Required

FINAL ANSWER

16.5057415797793 ≈ 16.50574 Meter <-- Width of hendecagon

(Calculation completed in 00.004 seconds)

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< 10+ Width of Hendecagon Calculators

Width of Hendecagon given Area

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

Width of Hendecagon given Inradius

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

Width of Hendecagon given Height

Go Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)

Width of Hendecagon given Diagonal across Four Sides

Go Width of hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11))

Width of Hendecagon given Diagonal across Three Sides

Go Width of hendecagon = Diagonal across Three Sides of Hendecagon*sin((5*pi)/11)/(sin((3*pi)/11))

Width of Hendecagon given Diagonal across Two Sides

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

Width of Hendecagon given Perimeter

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

Width of Hendecagon

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

Width of Hendecagon given Circumradius

Go Width of hendecagon = Circumradius of Hendecagon*2*sin((5*pi)/11)

Width of Hendecagon given Diagonal across Five Sides

Go Width of hendecagon = Diagonal across Five Sides of Hendecagon/1

Width of Hendecagon given Inradius Formula

Width of hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11)
W = 2*tan(pi/11)*r_i*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 Inradius?

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

How to calculate Width of Hendecagon given Inradius using this online calculator? To use this online calculator for Width of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Width of Hendecagon given Inradius calculation can be explained with given input values -> 16.50574 = 2*tan(pi/11)*8*sin((5*pi)/11)/sin(pi/11).

FAQ

What is Width of Hendecagon given Inradius?

The Width of Hendecagon given Inradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using inradius and is represented as W = 2*tan(pi/11)*r_i*sin((5*pi)/11)/sin(pi/11) or Width of hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11). The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

How to calculate Width of Hendecagon given Inradius?

The Width of Hendecagon given Inradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using inradius is calculated using Width of hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((5*pi)/11)/sin(pi/11). To calculate Width of Hendecagon given Inradius, you need Inradius of Hendecagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Hendecagon. We can use 9 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 = 2*sqrt(Area of Hendecagon*tan(pi/11)/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)
Width of hendecagon = Diagonal across Three Sides of Hendecagon*sin((5*pi)/11)/(sin((3*pi)/11))
Width of hendecagon = Diagonal across Four Sides of Hendecagon*(sin((5*pi)/11))/(sin((4*pi)/11))
Width of hendecagon = Diagonal across Five Sides of Hendecagon/1
Width of hendecagon = Circumradius of Hendecagon*2*sin((5*pi)/11)
Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)

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