Inradius of Hendecagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
ri = (((W*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Inradius of Hendecagon - (Measured in Meter) - The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.
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.
STEP 1: Convert Input(s) to Base Unit
Width of hendecagon: 18 Meter --> 18 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (((W*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)) --> (((18*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
Evaluating ... ...
ri = 8.72423691501446
STEP 3: Convert Result to Output's Unit
8.72423691501446 Meter --> No Conversion Required
FINAL ANSWER
8.72423691501446 8.724237 Meter <-- Inradius of Hendecagon
(Calculation completed in 00.019 seconds)

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10+ Inradius of Hendecagon Calculators

Inradius of Hendecagon given Diagonal across Three Sides
Go Inradius of Hendecagon = (((Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)))/(2*tan(pi/11))
Inradius of Hendecagon given Diagonal across Five Sides
Go Inradius of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
Inradius of Hendecagon given Diagonal across Four Sides
Go Inradius of Hendecagon = (((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/11))
Inradius of Hendecagon given Diagonal across Two Sides
Go Inradius of Hendecagon = (((Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)))/(2*tan(pi/11))
Inradius of Hendecagon given Width
Go Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
Inradius of Hendecagon given Area
Go Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))
Inradius of Hendecagon given Circumradius
Go Inradius of Hendecagon = (sin(pi/11)*Circumradius of Hendecagon)/tan(pi/11)
Inradius of Hendecagon given Height
Go Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11))
Inradius of Hendecagon given Perimeter
Go Inradius of Hendecagon = (Perimeter of Hendecagon)/(22*tan(pi/11))
Inradius of Hendecagon
Go Inradius of Hendecagon = Side of Hendecagon/(2*tan(pi/11))

Inradius of Hendecagon given Width Formula

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

Inradius of Hendecagon given Width calculator uses Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)) to calculate the Inradius of Hendecagon, The Inradius of Hendecagon given Width formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using width. Inradius of Hendecagon is denoted by ri symbol.

How to calculate Inradius of Hendecagon given Width using this online calculator? To use this online calculator for Inradius of Hendecagon given Width, enter Width of hendecagon (W) and hit the calculate button. Here is how the Inradius of Hendecagon given Width calculation can be explained with given input values -> 8.724237 = (((18*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)).

FAQ

What is Inradius of Hendecagon given Width?
The Inradius of Hendecagon given Width formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using width and is represented as ri = (((W*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)) or Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)). Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.
How to calculate Inradius of Hendecagon given Width?
The Inradius of Hendecagon given Width formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using width is calculated using Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11)). To calculate Inradius of Hendecagon given Width, you need Width of hendecagon (W). With our tool, you need to enter the respective value for Width 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 Inradius of Hendecagon?
In this formula, Inradius of Hendecagon uses Width of hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11))
  • Inradius of Hendecagon = (Perimeter of Hendecagon)/(22*tan(pi/11))
  • Inradius of Hendecagon = Side of Hendecagon/(2*tan(pi/11))
  • Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))
  • Inradius of Hendecagon = (sin(pi/11)*Circumradius of Hendecagon)/tan(pi/11)
  • Inradius of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))
  • Inradius of Hendecagon = (((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11)))/(2*tan(pi/11))
  • Inradius of Hendecagon = (((Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)))/(2*tan(pi/11))
  • Inradius of Hendecagon = (((Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)))/(2*tan(pi/11))
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