Diagonal of Hendecagon across Five 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 Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.ⓘ Diagonal of Hendecagon across Five Sides given Circumradius [d₅]

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Diagonal of Hendecagon across Five Sides given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11)
d₅ = 2*r_c*sin((5*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 Five Sides of Hendecagon - (Measured in Meter) - Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five 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

d₅ = 2*r_c*sin((5*pi)/11) --> 2*9*sin((5*pi)/11)

Evaluating ... ...

d₅ = 17.8167859538568

STEP 3: Convert Result to Output's Unit

17.8167859538568 Meter --> No Conversion Required

FINAL ANSWER

17.8167859538568 ≈ 17.81679 Meter <-- Diagonal across Five Sides of Hendecagon

(Calculation completed in 00.004 seconds)

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< Diagonal of Hendecagon across Five sides Calculators

Diagonal of Hendecagon across Five Sides given Area

LaTeX Go Diagonal across Five Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((5*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Five Sides given Height

LaTeX Go Diagonal across Five Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Five Sides given Perimeter

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

Diagonal of Hendecagon across Five Sides

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

Diagonal of Hendecagon across Five Sides given Circumradius Formula

LaTeX Go

Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11)
d₅ = 2*r_c*sin((5*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 Five Sides given Circumradius?

Diagonal of Hendecagon across Five Sides given Circumradius calculator uses Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11) to calculate the Diagonal across Five Sides of Hendecagon, The Diagonal of Hendecagon across Five Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon. Diagonal across Five Sides of Hendecagon is denoted by d₅ symbol.

How to calculate Diagonal of Hendecagon across Five Sides given Circumradius using this online calculator? To use this online calculator for Diagonal of Hendecagon across Five Sides given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button. Here is how the Diagonal of Hendecagon across Five Sides given Circumradius calculation can be explained with given input values -> 17.81679 = 2*9*sin((5*pi)/11).

FAQ

What is Diagonal of Hendecagon across Five Sides given Circumradius?

The Diagonal of Hendecagon across Five Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon and is represented as d₅ = 2*r_c*sin((5*pi)/11) or Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*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 Five Sides given Circumradius?

The Diagonal of Hendecagon across Five Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices across five sides of Hendecagon is calculated using Diagonal across Five Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((5*pi)/11). To calculate Diagonal of Hendecagon across Five 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 Five Sides of Hendecagon?

In this formula, Diagonal across Five 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 Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)
Diagonal across Five Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((5*pi)/11)/sin(pi/11)
Diagonal across Five Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)

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