Circumradius of Hendecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11))
rc = (P)/(22*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
Circumradius of Hendecagon - (Measured in Meter) - The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.
Perimeter of Hendecagon - (Measured in Meter) - Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hendecagon: 55 Meter --> 55 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (P)/(22*sin(pi/11)) --> (55)/(22*sin(pi/11))
Evaluating ... ...
rc = 8.87366383221056
STEP 3: Convert Result to Output's Unit
8.87366383221056 Meter --> No Conversion Required
FINAL ANSWER
8.87366383221056 8.873664 Meter <-- Circumradius of Hendecagon
(Calculation completed in 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Circumradius of Hendecagon Calculators

Circumradius of Hendecagon given Area
​ LaTeX ​ Go Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
Circumradius of Hendecagon given Height
​ LaTeX ​ Go Circumradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(sin(pi/11))
Circumradius of Hendecagon given Perimeter
​ LaTeX ​ Go Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11))
Circumradius of Hendecagon
​ LaTeX ​ Go Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11))

Circumradius of Hendecagon given Perimeter Formula

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

Circumradius of Hendecagon given Perimeter calculator uses Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11)) to calculate the Circumradius of Hendecagon, Circumradius of Hendecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hendecagon, calculated using perimeter. Circumradius of Hendecagon is denoted by rc symbol.

How to calculate Circumradius of Hendecagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Hendecagon given Perimeter, enter Perimeter of Hendecagon (P) and hit the calculate button. Here is how the Circumradius of Hendecagon given Perimeter calculation can be explained with given input values -> 8.873664 = (55)/(22*sin(pi/11)).

FAQ

What is Circumradius of Hendecagon given Perimeter?
Circumradius of Hendecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hendecagon, calculated using perimeter and is represented as rc = (P)/(22*sin(pi/11)) or Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11)). Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.
How to calculate Circumradius of Hendecagon given Perimeter?
Circumradius of Hendecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hendecagon, calculated using perimeter is calculated using Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11)). To calculate Circumradius of Hendecagon given Perimeter, you need Perimeter of Hendecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Circumradius of Hendecagon?
In this formula, Circumradius of Hendecagon uses Perimeter of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11))
  • Circumradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(sin(pi/11))
  • Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
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