Height of Hendecagon given Inradius Calculator

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

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✖Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Hendecagon given Inradius [h]

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Height of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Hendecagon - (Measured in Meter) - Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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

h = (r_i*tan(pi/11))/tan(pi/22) --> (8*tan(pi/11))/tan(pi/22)

Evaluating ... ...

h = 16.3377369298112

STEP 3: Convert Result to Output's Unit

16.3377369298112 Meter --> No Conversion Required

FINAL ANSWER

16.3377369298112 ≈ 16.33774 Meter <-- Height of Hendecagon

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Height of Hendecagon Calculators

Height of Hendecagon given Circumradius

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

Height of Hendecagon given Inradius

LaTeX Go Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22)

Height of Hendecagon given Perimeter

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

Height of Hendecagon

LaTeX Go Height of Hendecagon = Side of Hendecagon/(2*tan(pi/22))

Height of Hendecagon given Inradius Formula

LaTeX Go

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

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 Height of Hendecagon given Inradius?

Height of Hendecagon given Inradius calculator uses Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22) to calculate the Height of Hendecagon, Height of Hendecagon given Inradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using inradius. Height of Hendecagon is denoted by h symbol.

How to calculate Height of Hendecagon given Inradius using this online calculator? To use this online calculator for Height of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Height of Hendecagon given Inradius calculation can be explained with given input values -> 16.33774 = (8*tan(pi/11))/tan(pi/22).

FAQ

What is Height of Hendecagon given Inradius?

Height of Hendecagon given Inradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using inradius and is represented as h = (r_i*tan(pi/11))/tan(pi/22) or Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22). The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

How to calculate Height of Hendecagon given Inradius?

Height of Hendecagon given Inradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using inradius is calculated using Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22). To calculate Height 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 Height of Hendecagon?

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

Height of Hendecagon = (Circumradius of Hendecagon*sin(pi/11))/(tan(pi/22))
Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22))
Height of Hendecagon = Side of Hendecagon/(2*tan(pi/22))

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