✖Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.ⓘ Diagonal of Hendecagon across Three Sides given Circumradius [d₃]

⎘ Copy

👎

Formula

✖

Diagonal of Hendecagon across Three Sides given Circumradius

Formula

`"d"_{"3"} = 2*"r"_{"c"}*sin((3*pi)/11)`

Example

`"13.60349m"=2*"9m"*sin((3*pi)/11)`

Calculator

LaTeX

Reset

👍

Download 2D Geometry Formula PDF PDF Image

Diagonal of Hendecagon across Three Sides given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11)
d₃ = 2*r_c*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

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.
Circumradius of Hendecagon - (Measured in Meter) - The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hendecagon: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₃ = 2*r_c*sin((3*pi)/11) --> 2*9*sin((3*pi)/11)

Evaluating ... ...

d₃ = 13.6034923383766

STEP 3: Convert Result to Output's Unit

13.6034923383766 Meter --> No Conversion Required

FINAL ANSWER

13.6034923383766 ≈ 13.60349 Meter <-- Diagonal across Three Sides of Hendecagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hendecagon » Diagonal of Hendecagon » Diagonal of Hendecagon across Three sides » Diagonal of Hendecagon across Three Sides given Circumradius

Credits

Created by prachi gami

NATIONAL INSTITUTE OF ENGINEERING (nie), mysore

prachi gami has created this Calculator and 200+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< 6 Diagonal of Hendecagon across Three sides Calculators

Diagonal of Hendecagon across Three Sides given Area

Go Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Inradius

Go Diagonal across Three Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Height

Go Diagonal across Three Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Perimeter

Go Diagonal across Three Sides of Hendecagon = Perimeter of Hendecagon/11*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides

Go Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Circumradius

Go Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11)

< 25 Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Two Sides given Inradius

Go Diagonal across Two Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((2*pi)/11)/sin(pi/11)

Inradius of Hendecagon given Width

Go Inradius of Hendecagon = (((Width of hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/11))

Circumradius of Hendecagon given Area

Go Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))

Diagonal of Hendecagon across Five Sides given Diagonal across Two Sides

Go Diagonal across Five Sides of Hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)

Inradius of Hendecagon given Area

Go Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))

Height of Hendecagon given Area

Go Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22))

Diagonal of Hendecagon across Four Sides given Width

Go Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11))

Diagonal of Hendecagon across Three Sides

Go Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Five Sides

Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Four Sides

Go Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Two Sides

Go Diagonal across Two Sides of Hendecagon = (Side of Hendecagon*sin((2*pi)/11))/sin(pi/11)

Perimeter of Hendecagon given Width

Go Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11))

Circumradius of Hendecagon given Inradius

Go Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11)

Area of Hendecagon given Height

Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)

Perimeter of Hendecagon given Area

Go Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Side of Hendecagon

Go Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Circumradius of Hendecagon given Diagonal across Four Sides

Go Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))

Diagonal of Hendecagon across Three Sides given Circumradius

Go Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11)

Circumradius of Hendecagon given Diagonal across Two Sides

Go Circumradius of Hendecagon = Diagonal across Two Sides of Hendecagon/(2*sin((2*pi)/11))

Circumradius of Hendecagon

Go Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11))

Area of Hendecagon given Perimeter

Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))

Inradius of Hendecagon

Go Inradius of Hendecagon = Side of Hendecagon/(2*tan(pi/11))

Area of Hendecagon

Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Height of Hendecagon

Go Height of Hendecagon = Side of Hendecagon/(2*tan(pi/22))

Perimeter of Hendecagon

Go Perimeter of Hendecagon = 11*Side of Hendecagon

Diagonal of Hendecagon across Three Sides given Circumradius Formula

Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11)
d₃ = 2*r_c*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 Diagonal of Hendecagon across Three Sides given Circumradius?

Diagonal of Hendecagon across Three Sides given Circumradius calculator uses Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11) to calculate the Diagonal across Three Sides of Hendecagon, The Diagonal of Hendecagon across Three Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using circumradius. Diagonal across Three Sides of Hendecagon is denoted by d₃ symbol.

How to calculate Diagonal of Hendecagon across Three Sides given Circumradius using this online calculator? To use this online calculator for Diagonal of Hendecagon across Three Sides given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button. Here is how the Diagonal of Hendecagon across Three Sides given Circumradius calculation can be explained with given input values -> 13.60349 = 2*9*sin((3*pi)/11).

FAQ

What is Diagonal of Hendecagon across Three Sides given Circumradius?

The Diagonal of Hendecagon across Three Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using circumradius and is represented as d₃ = 2*r_c*sin((3*pi)/11) or Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11). The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

How to calculate Diagonal of Hendecagon across Three Sides given Circumradius?

The Diagonal of Hendecagon across Three Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using circumradius is calculated using Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11). To calculate Diagonal of Hendecagon across Three Sides given Circumradius, you need Circumradius of Hendecagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Diagonal across Three Sides of Hendecagon?

In this formula, Diagonal across Three Sides of Hendecagon uses Circumradius of Hendecagon. We can use 6 other way(s) to calculate the same, which is/are as follows -

Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)
Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)
Diagonal across Three Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((3*pi)/11)/sin(pi/11)
Diagonal across Three Sides of Hendecagon = Perimeter of Hendecagon/11*sin((3*pi)/11)/sin(pi/11)
Diagonal across Three Sides of Hendecagon = 2*tan(pi/11)*Inradius of Hendecagon*sin((3*pi)/11)/sin(pi/11)
Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)

Home

FREE PDFs

🔍 Search