Perimeter 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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✖Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.ⓘ Perimeter of Hendecagon given Circumradius [P]

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Perimeter of Hendecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11)
P = 22*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

Perimeter of Hendecagon - (Measured in Meter) - Perimeter of Hendecagon is the total distance around the edge of the 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

P = 22*r_c*sin(pi/11) --> 22*9*sin(pi/11)

Evaluating ... ...

P = 55.7830462546031

STEP 3: Convert Result to Output's Unit

55.7830462546031 Meter --> No Conversion Required

FINAL ANSWER

55.7830462546031 ≈ 55.78305 Meter <-- Perimeter 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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Indian Institute of Information Technology (IIIT), Bhopal

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< Perimeter of Hendecagon Calculators

Perimeter of Hendecagon given Area

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

Perimeter of Hendecagon given Circumradius

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

Perimeter of Hendecagon given Height

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

Perimeter of Hendecagon

LaTeX Go Perimeter of Hendecagon = 11*Side of Hendecagon

Perimeter of Hendecagon given Circumradius Formula

LaTeX Go

Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11)
P = 22*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 Perimeter of Hendecagon given Circumradius?

Perimeter of Hendecagon given Circumradius calculator uses Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11) to calculate the Perimeter of Hendecagon, Perimeter of Hendecagon given Circumradius formula is defined as the total distance around the edge of the Hendecagon, calculated using circumradius. Perimeter of Hendecagon is denoted by P symbol.

How to calculate Perimeter of Hendecagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Hendecagon given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button. Here is how the Perimeter of Hendecagon given Circumradius calculation can be explained with given input values -> 55.78305 = 22*9*sin(pi/11).

FAQ

What is Perimeter of Hendecagon given Circumradius?

Perimeter of Hendecagon given Circumradius formula is defined as the total distance around the edge of the Hendecagon, calculated using circumradius and is represented as P = 22*r_c*sin(pi/11) or Perimeter of Hendecagon = 22*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 Perimeter of Hendecagon given Circumradius?

Perimeter of Hendecagon given Circumradius formula is defined as the total distance around the edge of the Hendecagon, calculated using circumradius is calculated using Perimeter of Hendecagon = 22*Circumradius of Hendecagon*sin(pi/11). To calculate Perimeter 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 Perimeter of Hendecagon?

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

Perimeter of Hendecagon = 11*Side of Hendecagon
Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Perimeter of Hendecagon = 22*Height of Hendecagon*tan(pi/22)

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