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Side of Hendecagon given Circumradius Formula

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Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon. Check FAQs

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

S - Side of Hendecagon?r_c - Circumradius of Hendecagon?π - Archimedes' constant?

Side of Hendecagon given Circumradius Example

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

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

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

5.0712 = 2 \cdot 9 \cdot \sin (\frac{3.1416}{11})

5.0712m = 2 \cdot 9m \cdot \sin (\frac{3.1416}{11})

5.0712 = 2 \cdot 9 \cdot \sin (\frac{3.1416}{11})

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Side of Hendecagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = 2 \cdot 9m \cdot \sin (\frac{π}{11})

Next Step Substitute values of Constants

∴

S = 2 \cdot 9m \cdot \sin (\frac{3.1416}{11})

Next Step Prepare to Evaluate

∴

S = 2 \cdot 9 \cdot \sin (\frac{3.1416}{11})

Next Step Evaluate

∴

S = 5.07118602314573m

LAST Step Rounding Answer

∴

S = 5.0712m

Side of Hendecagon given Circumradius Formula Elements

Variables

Constants

Functions

Side of Hendecagon

Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Hendecagon

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

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 Side of Hendecagon

Go Side of Hendecagon

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

Go Side of Hendecagon given Height

S = 2 \cdot h \cdot \tan (\frac{π}{22})

Other formulas in Side 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 Side of Hendecagon given Circumradius?

Side of Hendecagon given Circumradius evaluator uses Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11) to evaluate the Side of Hendecagon, The Side of Hendecagon given Circumradius formula is defined as the straight line connecting any two adjacent vertices of the Hendecagon, calculated using circumradius. Side of Hendecagon is denoted by S symbol.

How to evaluate Side of Hendecagon given Circumradius using this online evaluator? To use this online evaluator for Side of Hendecagon given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button.

FAQs on Side of Hendecagon given Circumradius

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

The formula of Side of Hendecagon given Circumradius is expressed as Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11). Here is an example- 5.071186 = 2*9*sin(pi/11).

How to calculate Side of Hendecagon given Circumradius?

With Circumradius of Hendecagon (r_c) we can find Side of Hendecagon given Circumradius using the formula - Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Side of Hendecagon?

Here are the different ways to Calculate Side of Hendecagon-

Side of Hendecagon=sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Side of Hendecagon=2*Height of Hendecagon*tan(pi/22)

Can the Side of Hendecagon given Circumradius be negative?

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

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

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

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