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Side of Hendecagon given Diagonal across Three Sides Formula

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

S - Side of Hendecagon?d₃ - Diagonal across Three Sides of Hendecagon?π - Archimedes' constant?

Side of Hendecagon given Diagonal across Three Sides Example

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

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

Here is how the Side of Hendecagon given Diagonal across Three Sides equation looks like.

4.8462 = \frac{13 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{3 \cdot 3.1416}{11})}

4.8462m = \frac{13m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{3 \cdot 3.1416}{11})}

4.8462 = \frac{13 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{3 \cdot 3.1416}{11})}

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2D Geometry » fx Side of Hendecagon given Diagonal across Three Sides

Side of Hendecagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{13m \cdot \sin (\frac{π}{11})}{\sin (\frac{3 \cdot π}{11})}

Next Step Substitute values of Constants

∴

S = \frac{13m \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{3 \cdot 3.1416}{11})}

Next Step Prepare to Evaluate

∴

S = \frac{13 \cdot \sin (\frac{3.1416}{11})}{\sin (\frac{3 \cdot 3.1416}{11})}

Next Step Evaluate

∴

S = 4.8462127710333m

LAST Step Rounding Answer

∴

S = 4.8462m

Side of Hendecagon given Diagonal across Three Sides 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

Diagonal across Three Sides of Hendecagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three 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 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 Four Sides

S = \frac{d 4 \cdot \sin (\frac{π}{11})}{\sin (\frac{4 \cdot π}{11})}

How to Evaluate Side of Hendecagon given Diagonal across Three Sides?

Side of Hendecagon given Diagonal across Three Sides evaluator uses Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11) to evaluate the Side of Hendecagon, Side of Hendecagon given Diagonal across Three Sides formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using diagonal across three sides. Side of Hendecagon is denoted by S symbol.

How to evaluate Side of Hendecagon given Diagonal across Three Sides using this online evaluator? To use this online evaluator for Side of Hendecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hendecagon (d₃) and hit the calculate button.

FAQs on Side of Hendecagon given Diagonal across Three Sides

What is the formula to find Side of Hendecagon given Diagonal across Three Sides?

The formula of Side of Hendecagon given Diagonal across Three Sides is expressed as Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11). Here is an example- 4.846213 = (13*sin(pi/11))/sin((3*pi)/11).

How to calculate Side of Hendecagon given Diagonal across Three Sides?

With Diagonal across Three Sides of Hendecagon (d₃) we can find Side of Hendecagon given Diagonal across Three Sides using the formula - Side of Hendecagon = (Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*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*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 Diagonal across Three Sides be negative?

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

Which unit is used to measure Side of Hendecagon given Diagonal across Three Sides?

Side of Hendecagon given Diagonal across Three Sides 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 Diagonal across Three Sides can be measured.

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