Circumradius of Hendecagon given Diagonal across Four Sides Calculator

✖Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.ⓘ Diagonal across Four Sides of Hendecagon [d₄]

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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 Four Sides [r_c]

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Formula

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Circumradius of Hendecagon given Diagonal across Four Sides

Formula

`"r"_{"c"} = "d"_{"4"}/(2*sin((4*pi)/11))`

Example

`"8.794765m"="16m"/(2*sin((4*pi)/11))`

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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))
r_c = 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

r_c = d₄/(2*sin((4*pi)/11)) --> 16/(2*sin((4*pi)/11))

Evaluating ... ...

r_c = 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)

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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 Four Sides Formula

Circumradius of Hendecagon = Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))
r_c = 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 r_c 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 r_c = 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 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 Five Sides of Hendecagon/(2*sin((5*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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