Circumradius of Hendecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11))
rc = d3/(2*sin((3*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.
Diagonal across Three Sides of Hendecagon - (Measured in Meter) - Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Three Sides of Hendecagon: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = d3/(2*sin((3*pi)/11)) --> 13/(2*sin((3*pi)/11))
Evaluating ... ...
rc = 8.60073259790302
STEP 3: Convert Result to Output's Unit
8.60073259790302 Meter --> No Conversion Required
FINAL ANSWER
8.60073259790302 8.600733 Meter <-- Circumradius 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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Vishwakarma Institute of Technology (VIT), Pune
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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 Diagonal across Three Sides Formula

​LaTeX ​Go
Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11))
rc = d3/(2*sin((3*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 Diagonal across Three Sides?

Circumradius of Hendecagon given Diagonal across Three Sides calculator uses Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11)) to calculate the Circumradius of Hendecagon, Circumradius of Hendecagon given Diagonal across Three Sides is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using diagonal across three sides. Circumradius of Hendecagon is denoted by rc symbol.

How to calculate Circumradius of Hendecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Circumradius of Hendecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hendecagon (d3) and hit the calculate button. Here is how the Circumradius of Hendecagon given Diagonal across Three Sides calculation can be explained with given input values -> 8.600733 = 13/(2*sin((3*pi)/11)).

FAQ

What is Circumradius of Hendecagon given Diagonal across Three Sides?
Circumradius of Hendecagon given Diagonal across Three Sides is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using diagonal across three sides and is represented as rc = d3/(2*sin((3*pi)/11)) or Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11)). Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.
How to calculate Circumradius of Hendecagon given Diagonal across Three Sides?
Circumradius of Hendecagon given Diagonal across Three Sides is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using diagonal across three sides is calculated using Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11)). To calculate Circumradius of Hendecagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Hendecagon (d3). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Diagonal across Three Sides 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 = (Perimeter of Hendecagon)/(22*sin(pi/11))
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