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Diagonal of Hendecagon across Three Sides Formula

GoDiagonal of Hendecagon across Three Sides given Circumradius Formula

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

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

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

Diagonal of Hendecagon across Three Sides Example

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

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

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

13.4125 = \frac{5 \cdot \sin (\frac{3 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

13.4125m = \frac{5m \cdot \sin (\frac{3 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

13.4125 = \frac{5 \cdot \sin (\frac{3 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

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Diagonal of Hendecagon across Three Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = \frac{5m \cdot \sin (\frac{3 \cdot π}{11})}{\sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

d 3 = \frac{5m \cdot \sin (\frac{3 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

d 3 = \frac{5 \cdot \sin (\frac{3 \cdot 3.1416}{11})}{\sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

d 3 = 13.4125353283118m

LAST Step Rounding Answer

∴

d 3 = 13.4125m

Diagonal of Hendecagon across Three Sides Formula Elements

Variables

Constants

Functions

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

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

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 Diagonal across Three Sides of Hendecagon

Go Diagonal of Hendecagon across Three Sides given Circumradius

d 3 = 2 \cdot r c \cdot \sin (\frac{3 \cdot π}{11})

Other formulas in Diagonal of Hendecagon across Three sides 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 Diagonal of Hendecagon across Three Sides?

Diagonal of Hendecagon across Three Sides evaluator uses Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11) to evaluate the Diagonal across Three Sides of Hendecagon, Diagonal of Hendecagon across three sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon. Diagonal across Three Sides of Hendecagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Hendecagon across Three Sides

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

The formula of Diagonal of Hendecagon across Three Sides is expressed as Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11). Here is an example- 13.41254 = (5*sin((3*pi)/11))/sin(pi/11).

How to calculate Diagonal of Hendecagon across Three Sides?

With Side of Hendecagon (S) we can find Diagonal of Hendecagon across Three Sides using the formula - Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Diagonal across Three Sides of Hendecagon?

Here are the different ways to Calculate Diagonal across Three Sides of Hendecagon-

Diagonal across Three Sides of Hendecagon=2*Circumradius of Hendecagon*sin((3*pi)/11)

Can the Diagonal of Hendecagon across Three Sides be negative?

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

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

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

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