Diagonal of Hendecagon across Three Sides given Circumradius Calculator

✖The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.ⓘ Circumradius of Hendecagon [r_c]

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✖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]

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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)

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< Diagonal of Hendecagon across Three sides Calculators

Diagonal of Hendecagon across Three Sides given Area

LaTeX 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 Height

LaTeX 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

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

Diagonal of Hendecagon across Three Sides

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

Diagonal of Hendecagon across Three Sides given Circumradius Formula

LaTeX Go

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 3 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)

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