Circumradius of Hendecagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))
rc = d4/(2*sin((4*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 Four Sides of Hendecagon - (Measured in Meter) - Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Four Sides of Hendecagon: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = d4/(2*sin((4*pi)/11)) --> 16/(2*sin((4*pi)/11))
Evaluating ... ...
rc = 8.79476540057509
STEP 3: Convert Result to Output's Unit
8.79476540057509 Meter --> No Conversion Required
FINAL ANSWER
8.79476540057509 8.794765 Meter <-- Circumradius of Hendecagon
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

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))

Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides
​ LaTeX ​ Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Area of Hendecagon given Height
​ LaTeX ​ Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
Area of Hendecagon given Perimeter
​ LaTeX ​ Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))
Area of Hendecagon
​ LaTeX ​ Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Circumradius of Hendecagon given Diagonal across Four Sides Formula

​LaTeX ​Go
Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))
rc = d4/(2*sin((4*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 Four Sides?

Circumradius of Hendecagon given Diagonal across Four Sides calculator uses Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11)) to calculate the Circumradius of Hendecagon, Circumradius of Hendecagon given Diagonal across Four 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 four sides. Circumradius of Hendecagon is denoted by rc symbol.

How to calculate Circumradius of Hendecagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Circumradius of Hendecagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Hendecagon (d4) and hit the calculate button. Here is how the Circumradius of Hendecagon given Diagonal across Four Sides calculation can be explained with given input values -> 8.794765 = 16/(2*sin((4*pi)/11)).

FAQ

What is Circumradius of Hendecagon given Diagonal across Four Sides?
Circumradius of Hendecagon given Diagonal across Four 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 four sides and is represented as rc = d4/(2*sin((4*pi)/11)) or Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11)). Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.
How to calculate Circumradius of Hendecagon given Diagonal across Four Sides?
Circumradius of Hendecagon given Diagonal across Four 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 four sides is calculated using Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11)). To calculate Circumradius of Hendecagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Hendecagon (d4). With our tool, you need to enter the respective value for Diagonal across Four 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 Four 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!