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Perimeter of Hendecagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
perimeter = 22*Inradius*tan(pi/11)
P = 22*ri*tan(pi/11)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 22*ri*tan(pi/11) --> 22*10*tan(pi/11)
Evaluating ... ...
P = 64.5978284464407
STEP 3: Convert Result to Output's Unit
64.5978284464407 Meter --> No Conversion Required
FINAL ANSWER
64.5978284464407 Meter <-- Perimeter
(Calculation completed in 00.015 seconds)

7 Area and Perimeter of Hendecagon Calculators

Perimeter of Hendecagon given area
perimeter = 11*sqrt((4*Area*tan(pi/11))/11) Go
Perimeter of Hendecagon given circumradius
perimeter = 22*Circumradius*sin(pi/11) Go
Perimeter of Hendecagon given height
perimeter = (22*Height*tan(pi/2/11)) Go
Area of Hendecagon given perimeter
area = (Perimeter)^2/(44*tan(pi/11)) Go
Perimeter of Hendecagon given inradius
perimeter = 22*Inradius*tan(pi/11) Go
Area of Hendecagon
area = (11/4)*(Side)^2*cot(pi/11) Go
Perimeter of hendecagon given side
perimeter = 11*Side Go

Perimeter of Hendecagon given inradius Formula

perimeter = 22*Inradius*tan(pi/11)
P = 22*ri*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 = 22*Inradius*tan(pi/11) to calculate the Perimeter, Perimeter of Hendecagon given inradius formula is defined as an addition of all sides of hendecagon. Perimeter and 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 (ri) and hit the calculate button. Here is how the Perimeter of Hendecagon given inradius calculation can be explained with given input values -> 64.59783 = 22*10*tan(pi/11).

FAQ

What is Perimeter of Hendecagon given inradius?
Perimeter of Hendecagon given inradius formula is defined as an addition of all sides of hendecagon and is represented as P = 22*ri*tan(pi/11) or perimeter = 22*Inradius*tan(pi/11). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Perimeter of Hendecagon given inradius?
Perimeter of Hendecagon given inradius formula is defined as an addition of all sides of hendecagon is calculated using perimeter = 22*Inradius*tan(pi/11). To calculate Perimeter of Hendecagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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?
In this formula, Perimeter uses Inradius. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 11*sqrt((4*Area*tan(pi/11))/11)
  • perimeter = 22*Circumradius*sin(pi/11)
  • perimeter = (22*Height*tan(pi/2/11))
  • perimeter = 22*Inradius*tan(pi/11)
  • perimeter = 11*Side
  • area = (11/4)*(Side)^2*cot(pi/11)
  • area = (Perimeter)^2/(44*tan(pi/11))
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