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Circumradius of Hendecagon given Inradius Formula

GoCircumradius of Hendecagon Formula

GoCircumradius of Hendecagon given Area Formula

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The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon. Check FAQs

r c = \frac{\tan (\frac{π}{11}) \cdot r i}{\sin (\frac{π}{11})}

r_c - Circumradius of Hendecagon?r_i - Inradius of Hendecagon?π - Archimedes' constant?

Circumradius of Hendecagon given Inradius Example

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Here is how the Circumradius of Hendecagon given Inradius equation looks like with Values.

Here is how the Circumradius of Hendecagon given Inradius equation looks like with Units.

Here is how the Circumradius of Hendecagon given Inradius equation looks like.

8.3377 = \frac{\tan (\frac{3.1416}{11}) \cdot 8}{\sin (\frac{3.1416}{11})}

8.3377m = \frac{\tan (\frac{3.1416}{11}) \cdot 8m}{\sin (\frac{3.1416}{11})}

8.3377 = \frac{\tan (\frac{3.1416}{11}) \cdot 8}{\sin (\frac{3.1416}{11})}

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Circumradius of Hendecagon given Inradius Solution

Follow our step by step solution on how to calculate Circumradius of Hendecagon given Inradius?

FIRST Step Consider the formula

r c = \frac{\tan (\frac{π}{11}) \cdot r i}{\sin (\frac{π}{11})}

Next Step Substitute values of Variables

∴

r c = \frac{\tan (\frac{π}{11}) \cdot 8m}{\sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

r c = \frac{\tan (\frac{3.1416}{11}) \cdot 8m}{\sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

r c = \frac{\tan (\frac{3.1416}{11}) \cdot 8}{\sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

r c = 8.33773692981124m

LAST Step Rounding Answer

∴

r c = 8.3377m

Circumradius of Hendecagon given Inradius Formula Elements

Variables

Constants

Functions

Circumradius of Hendecagon

The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Hendecagon

Inradius of Hendecagon

The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hendecagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: 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.

Syntax: tan(Angle)

Other Formulas to find Circumradius of Hendecagon

Go Circumradius of Hendecagon

r c = \frac{S}{2 \cdot \sin (\frac{π}{11})}

Go Circumradius of Hendecagon given Area

r c = \frac{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \sin (\frac{π}{11})}

Go Circumradius of Hendecagon given Diagonal across Four Sides

r c = \frac{d 4}{2 \cdot \sin (\frac{4 \cdot π}{11})}

Go Circumradius of Hendecagon given Diagonal across Two Sides

r c = \frac{d 2}{2 \cdot \sin (\frac{2 \cdot π}{11})}

Other formulas in Circumradius of Hendecagon category

Go Area of Hendecagon

A = \frac{11}{4} \cdot \frac{S^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Height

A = 11 \cdot \frac{{(h \cdot \tan (\frac{π}{22}))}^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Perimeter

A = \frac{P^{2}}{44 \cdot \tan (\frac{π}{11})}

Go Diagonal of Hendecagon across Five Sides

d 5 = \frac{S \cdot \sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

How to Evaluate Circumradius of Hendecagon given Inradius?

Circumradius of Hendecagon given Inradius evaluator uses Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11) to evaluate 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 evaluate Circumradius of Hendecagon given Inradius using this online evaluator? To use this online evaluator for Circumradius of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button.

FAQs on Circumradius of Hendecagon given Inradius

What is the formula to find Circumradius of Hendecagon given Inradius?

The formula of Circumradius of Hendecagon given Inradius is expressed as Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11). Here is an example- 8.337737 = (tan(pi/11)*8)/sin(pi/11).

How to calculate Circumradius of Hendecagon given Inradius?

With Inradius of Hendecagon (r_i) we can find Circumradius of Hendecagon given Inradius using the formula - Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) function(s).

What are the other ways to Calculate Circumradius of Hendecagon?

Here are the different ways to Calculate Circumradius of Hendecagon-

Circumradius of Hendecagon=(Side of Hendecagon)/(2*sin(pi/11))
Circumradius of Hendecagon=sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
Circumradius of Hendecagon=Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))

Can the Circumradius of Hendecagon given Inradius be negative?

No, the Circumradius of Hendecagon given Inradius, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Hendecagon given Inradius?

Circumradius of Hendecagon given Inradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Hendecagon given Inradius can be measured.

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