Side of Hendecagon given Circumradius Calculator

✖The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.ⓘ Circumradius of Hendecagon [r_c]

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

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Side of Hendecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
S = 2*r_c*sin(pi/11)
This formula uses 1 Constants, 1 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)

Variables Used

Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.
Circumradius of Hendecagon - (Measured in Meter) - The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hendecagon: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 2*r_c*sin(pi/11) --> 2*9*sin(pi/11)

Evaluating ... ...

S = 5.07118602314573

STEP 3: Convert Result to Output's Unit

5.07118602314573 Meter --> No Conversion Required

FINAL ANSWER

5.07118602314573 ≈ 5.071186 Meter <-- Side of Hendecagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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)

< Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides

LaTeX Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

Area of Hendecagon given Height

LaTeX Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)

Area of Hendecagon given Perimeter

LaTeX Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))

Area of Hendecagon

LaTeX Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Side of Hendecagon given Circumradius Formula

LaTeX Go

Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
S = 2*r_c*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 Side of Hendecagon given Circumradius?

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

How to calculate Side of Hendecagon given Circumradius using this online calculator? To use this online calculator for Side of Hendecagon given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button. Here is how the Side of Hendecagon given Circumradius calculation can be explained with given input values -> 5.071186 = 2*9*sin(pi/11).

FAQ

What is Side of Hendecagon given Circumradius?

The Side of Hendecagon given Circumradius formula is defined as the straight line connecting any two adjacent vertices of the Hendecagon, calculated using circumradius and is represented as S = 2*r_c*sin(pi/11) or Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11). The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

How to calculate Side of Hendecagon given Circumradius?

The Side of Hendecagon given Circumradius formula is defined as the straight line connecting any two adjacent vertices of the Hendecagon, calculated using circumradius is calculated using Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11). To calculate Side of Hendecagon given Circumradius, you need Circumradius of Hendecagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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 = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)
Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11)

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