Circumradius of Hendecagon given Diagonal across Five Sides Calculator

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

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✖The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.ⓘ Circumradius of Hendecagon given Diagonal across Five Sides [r_c]

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Formula

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Circumradius of Hendecagon given Diagonal across Five Sides

Formula

`"r"_{"c"} = "d"_{"5"}/(2*sin((5*pi)/11))`

Example

`"9.092549m"="18m"/(2*sin((5*pi)/11))`

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Circumradius of Hendecagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Hendecagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d₅/(2*sin((5*pi)/11)) --> 18/(2*sin((5*pi)/11))

Evaluating ... ...

r_c = 9.09254903884233

STEP 3: Convert Result to Output's Unit

9.09254903884233 Meter --> No Conversion Required

FINAL ANSWER

9.09254903884233 ≈ 9.092549 Meter <-- Circumradius of Hendecagon

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 10+ Circumradius of Hendecagon Calculators

Circumradius of Hendecagon given Area

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

Circumradius of Hendecagon given Inradius

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

Circumradius of Hendecagon given Height

Go Circumradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(sin(pi/11))

Circumradius of Hendecagon given Diagonal across Three Sides

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

Circumradius of Hendecagon given Diagonal across Five Sides

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

Circumradius of Hendecagon given Diagonal across Four Sides

Go Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*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 given Perimeter

Go Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11))

Circumradius of Hendecagon given Width

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

Circumradius of Hendecagon

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

Circumradius of Hendecagon given Diagonal across Five Sides Formula

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

Circumradius of Hendecagon given Diagonal across Five Sides calculator uses Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)) to calculate the Circumradius of Hendecagon, Circumradius of Hendecagon given Diagonal across Five 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 five sides. Circumradius of Hendecagon is denoted by r_c symbol.

How to calculate Circumradius of Hendecagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Circumradius of Hendecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hendecagon (d₅) and hit the calculate button. Here is how the Circumradius of Hendecagon given Diagonal across Five Sides calculation can be explained with given input values -> 9.092549 = 18/(2*sin((5*pi)/11)).

FAQ

What is Circumradius of Hendecagon given Diagonal across Five Sides?

Circumradius of Hendecagon given Diagonal across Five 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 five sides and is represented as r_c = d₅/(2*sin((5*pi)/11)) or Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)). Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.

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

Circumradius of Hendecagon given Diagonal across Five 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 five sides is calculated using Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)). To calculate Circumradius of Hendecagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Hendecagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five 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 Five Sides of Hendecagon. We can use 9 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))
Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11)
Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))
Circumradius of Hendecagon = Diagonal across Three Sides of Hendecagon/(2*sin((3*pi)/11))
Circumradius of Hendecagon = Diagonal across Two Sides of Hendecagon/(2*sin((2*pi)/11))
Circumradius of Hendecagon = Width of hendecagon/(2*sin((5*pi)/11))

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