Circumradius of Hendecagon given Inradius Calculator

✖The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.ⓘ Inradius of Hendecagon [r_i]

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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 Inradius [r_c]

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Circumradius of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11)
r_c = (tan(pi/11)*r_i)/sin(pi/11)
This formula uses 1 Constants, 2 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)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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.
Inradius of Hendecagon - (Measured in Meter) - The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Hendecagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (tan(pi/11)*r_i)/sin(pi/11) --> (tan(pi/11)*8)/sin(pi/11)

Evaluating ... ...

r_c = 8.33773692981124

STEP 3: Convert Result to Output's Unit

8.33773692981124 Meter --> No Conversion Required

FINAL ANSWER

8.33773692981124 ≈ 8.337737 Meter <-- Circumradius of Hendecagon

(Calculation completed in 00.018 seconds)

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< Circumradius of Hendecagon Calculators

Circumradius of Hendecagon given Area

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

Circumradius of Hendecagon given Height

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

Circumradius of Hendecagon given Perimeter

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

Circumradius of Hendecagon

LaTeX Go Circumradius of Hendecagon = (Side of Hendecagon)/(2*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)

Circumradius of Hendecagon given Inradius Formula

LaTeX Go

Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11)
r_c = (tan(pi/11)*r_i)/sin(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 Inradius?

Circumradius of Hendecagon given Inradius calculator uses Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11) to calculate the Circumradius of Hendecagon, Circumradius of Hendecagon given Inradius formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using inradius. Circumradius of Hendecagon is denoted by r_c symbol.

How to calculate Circumradius of Hendecagon given Inradius using this online calculator? To use this online calculator for Circumradius of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Circumradius of Hendecagon given Inradius calculation can be explained with given input values -> 8.337737 = (tan(pi/11)*8)/sin(pi/11).

FAQ

What is Circumradius of Hendecagon given Inradius?

Circumradius of Hendecagon given Inradius formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using inradius and is represented as r_c = (tan(pi/11)*r_i)/sin(pi/11) or Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11). The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

How to calculate Circumradius of Hendecagon given Inradius?

Circumradius of Hendecagon given Inradius formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using inradius is calculated using Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11). To calculate Circumradius of Hendecagon given Inradius, you need Inradius of Hendecagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Hendecagon. We can use 3 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))

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