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Side of Hendecagon given Inradius Formula

GoSide of Hendecagon Formula

GoSide 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 i \cdot \tan (\frac{π}{11})

S - Side of Hendecagon?r_i - Inradius of Hendecagon?π - Archimedes' constant?

Side of Hendecagon given Inradius Example

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

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

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

4.698 = 2 \cdot 8 \cdot \tan (\frac{3.1416}{11})

4.698m = 2 \cdot 8m \cdot \tan (\frac{3.1416}{11})

4.698 = 2 \cdot 8 \cdot \tan (\frac{3.1416}{11})

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Side of Hendecagon given Inradius Solution

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

FIRST Step Consider the formula

S = 2 \cdot r i \cdot \tan (\frac{π}{11})

Next Step Substitute values of Variables

∴

S = 2 \cdot 8m \cdot \tan (\frac{π}{11})

Next Step Substitute values of Constants

∴

S = 2 \cdot 8m \cdot \tan (\frac{3.1416}{11})

Next Step Prepare to Evaluate

∴

S = 2 \cdot 8 \cdot \tan (\frac{3.1416}{11})

Next Step Evaluate

∴

S = 4.69802388701387m

LAST Step Rounding Answer

∴

S = 4.698m

Side of Hendecagon given Inradius 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

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

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 Side of Hendecagon

Go Side of Hendecagon

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

Go Side of Hendecagon given Circumradius

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

Go Side of Hendecagon given Diagonal across Two Sides

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

Go Side of Hendecagon given Diagonal across Three Sides

S = \frac{d 3 \cdot \sin (\frac{π}{11})}{\sin (\frac{3 \cdot π}{11})}

How to Evaluate Side of Hendecagon given Inradius?

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

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

FAQs on Side of Hendecagon given Inradius

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

The formula of Side of Hendecagon given Inradius is expressed as Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11). Here is an example- 4.698024 = 2*8*tan(pi/11).

How to calculate Side of Hendecagon given Inradius?

With Inradius of Hendecagon (r_i) we can find Side of Hendecagon given Inradius using the formula - Side of Hendecagon = 2*Inradius of Hendecagon*tan(pi/11). This formula also uses Archimedes' constant and Tangent (tan) 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*Circumradius of Hendecagon*sin(pi/11)
Side of Hendecagon=(Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)

Can the Side of Hendecagon given Inradius be negative?

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

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

Side 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 Side of Hendecagon given Inradius can be measured.

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