Inradius of Hendecagon given Height Calculator

✖The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.ⓘ Inradius of Hendecagon given Height [r_i]

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Inradius of Hendecagon given Height

Formula

`"r"_{"i"} = ("h"*tan(pi/22))/(tan(pi/11))`

Example

`"8.324286m"=("17m"*tan(pi/22))/(tan(pi/11))`

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Inradius of Hendecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11))
r_i = (h*tan(pi/22))/(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

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

r_i = (h*tan(pi/22))/(tan(pi/11)) --> (17*tan(pi/22))/(tan(pi/11))

Evaluating ... ...

r_i = 8.32428631849511

STEP 3: Convert Result to Output's Unit

8.32428631849511 Meter --> No Conversion Required

FINAL ANSWER

8.32428631849511 ≈ 8.324286 Meter <-- Inradius of Hendecagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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St Joseph's College (SJC), Bengaluru

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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 Height Formula

Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11))
r_i = (h*tan(pi/22))/(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 Height?

Inradius of Hendecagon given Height calculator uses Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11)) to calculate the Inradius of Hendecagon, The Inradius of Hendecagon given Height formula is defined as the straight line connecting the incenter and any point on the circle that touches all the edges of Hendecagon, calculated using height. Inradius of Hendecagon is denoted by r_i symbol.

How to calculate Inradius of Hendecagon given Height using this online calculator? To use this online calculator for Inradius of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button. Here is how the Inradius of Hendecagon given Height calculation can be explained with given input values -> 8.324286 = (17*tan(pi/22))/(tan(pi/11)).

FAQ

What is Inradius of Hendecagon given Height?

The Inradius of Hendecagon given Height formula is defined as the straight line connecting the incenter and any point on the circle that touches all the edges of Hendecagon, calculated using height and is represented as r_i = (h*tan(pi/22))/(tan(pi/11)) or Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11)). Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Inradius of Hendecagon given Height?

The Inradius of Hendecagon given Height formula is defined as the straight line connecting the incenter and any point on the circle that touches all the edges of Hendecagon, calculated using height is calculated using Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11)). To calculate Inradius 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 Inradius of Hendecagon?

In this formula, Inradius of Hendecagon uses Height of Hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

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

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