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Circumradius of Hendecagon given Diagonal across Five Sides Formula

GoCircumradius of Hendecagon Formula

GoCircumradius of Hendecagon given Height 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{d 5}{2 \cdot \sin (\frac{5 \cdot π}{11})}

r_c - Circumradius of Hendecagon?d₅ - Diagonal across Five Sides of Hendecagon?π - Archimedes' constant?

Circumradius of Hendecagon given Diagonal across Five Sides Example

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Here is how the Circumradius of Hendecagon given Diagonal across Five Sides equation looks like with Values.

Here is how the Circumradius of Hendecagon given Diagonal across Five Sides equation looks like with Units.

Here is how the Circumradius of Hendecagon given Diagonal across Five Sides equation looks like.

9.0925 = \frac{18}{2 \cdot \sin (\frac{5 \cdot 3.1416}{11})}

9.0925m = \frac{18m}{2 \cdot \sin (\frac{5 \cdot 3.1416}{11})}

9.0925 = \frac{18}{2 \cdot \sin (\frac{5 \cdot 3.1416}{11})}

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Circumradius of Hendecagon given Diagonal across Five Sides Solution

Follow our step by step solution on how to calculate Circumradius of Hendecagon given Diagonal across Five Sides?

FIRST Step Consider the formula

r c = \frac{d 5}{2 \cdot \sin (\frac{5 \cdot π}{11})}

Next Step Substitute values of Variables

∴

r c = \frac{18m}{2 \cdot \sin (\frac{5 \cdot π}{11})}

Next Step Substitute values of Constants

∴

r c = \frac{18m}{2 \cdot \sin (\frac{5 \cdot 3.1416}{11})}

Next Step Prepare to Evaluate

∴

r c = \frac{18}{2 \cdot \sin (\frac{5 \cdot 3.1416}{11})}

Next Step Evaluate

∴

r c = 9.09254903884233m

LAST Step Rounding Answer

∴

r c = 9.0925m

Circumradius of Hendecagon given Diagonal across Five Sides 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

Diagonal across Five Sides of Hendecagon

Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Five Sides 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)

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 Height

r c = \frac{h \cdot \tan (\frac{π}{22})}{\sin (\frac{π}{11})}

Go Circumradius of Hendecagon given Perimeter

r c = \frac{P}{22 \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})}

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

Circumradius of Hendecagon given Diagonal across Five Sides evaluator uses Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)) to evaluate 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 evaluate Circumradius of Hendecagon given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Circumradius of Hendecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hendecagon (d₅) and hit the calculate button.

FAQs on Circumradius of Hendecagon given Diagonal across Five Sides

What is the formula to find Circumradius of Hendecagon given Diagonal across Five Sides?

The formula of Circumradius of Hendecagon given Diagonal across Five Sides is expressed as Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)). Here is an example- 9.092549 = 18/(2*sin((5*pi)/11)).

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

With Diagonal across Five Sides of Hendecagon (d₅) we can find Circumradius of Hendecagon given Diagonal across Five Sides using the formula - Circumradius of Hendecagon = Diagonal across Five Sides of Hendecagon/(2*sin((5*pi)/11)). This formula also uses Archimedes' constant and Sine 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=(Height of Hendecagon*tan(pi/22))/(sin(pi/11))
Circumradius of Hendecagon=(Perimeter of Hendecagon)/(22*sin(pi/11))

Can the Circumradius of Hendecagon given Diagonal across Five Sides be negative?

No, the Circumradius of Hendecagon given Diagonal across Five Sides, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Hendecagon given Diagonal across Five Sides?

Circumradius of Hendecagon given Diagonal across Five Sides 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 Diagonal across Five Sides can be measured.

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