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

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Perimeter of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hendecagon = 22*Inradius of Hendecagon*tan(pi/11)
P = 22*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

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

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

Evaluating ... ...

P = 51.6782627571525

STEP 3: Convert Result to Output's Unit

51.6782627571525 Meter --> No Conversion Required

FINAL ANSWER

51.6782627571525 ≈ 51.67826 Meter <-- Perimeter of Hendecagon

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

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 Inradius Formula

LaTeX Go

Perimeter of Hendecagon = 22*Inradius of Hendecagon*tan(pi/11)
P = 22*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 Perimeter of Hendecagon given Inradius?

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

How to calculate Perimeter of Hendecagon given Inradius using this online calculator? To use this online calculator for Perimeter of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Perimeter of Hendecagon given Inradius calculation can be explained with given input values -> 51.67826 = 22*8*tan(pi/11).

FAQ

What is Perimeter of Hendecagon given Inradius?

The Perimeter of Hendecagon given Inradius formula is defined as the total distance around the edge of the Hendecagon, calculated using inradius and is represented as P = 22*r_i*tan(pi/11) or Perimeter of Hendecagon = 22*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 Perimeter of Hendecagon given Inradius?

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

In this formula, Perimeter of Hendecagon uses Inradius 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*Circumradius of Hendecagon*sin(pi/11)

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