Side 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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✖Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.ⓘ Side of Hendecagon given Inradius [S]

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Side of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11)
S = 2*r_i*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

Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of 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

S = 2*r_i*tan(pi/11) --> 2*8*tan(pi/11)

Evaluating ... ...

S = 4.69802388701387

STEP 3: Convert Result to Output's Unit

4.69802388701387 Meter --> No Conversion Required

FINAL ANSWER

4.69802388701387 ≈ 4.698024 Meter <-- Side of Hendecagon

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Side of Hendecagon Calculators

Side of Hendecagon given Diagonal across Three Sides

LaTeX Go Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)

Side of Hendecagon given Diagonal across Two Sides

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

Side of Hendecagon

LaTeX Go Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Side of Hendecagon given Circumradius

LaTeX Go Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)

Side of Hendecagon given Inradius Formula

LaTeX Go

Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11)
S = 2*r_i*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 Side of Hendecagon given Inradius?

Side of Hendecagon given Inradius calculator uses Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11) to calculate the Side of Hendecagon, Side of Hendecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using inradius. Side of Hendecagon is denoted by S symbol.

How to calculate Side of Hendecagon given Inradius using this online calculator? To use this online calculator for Side of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Side of Hendecagon given Inradius calculation can be explained with given input values -> 4.698024 = 2*8*tan(pi/11).

FAQ

What is Side of Hendecagon given Inradius?

Side of Hendecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using inradius and is represented as S = 2*r_i*tan(pi/11) or Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11). The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

How to calculate Side of Hendecagon given Inradius?

Side of Hendecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using inradius is calculated using Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11). To calculate Side 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 Side of Hendecagon?

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

Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)

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