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Diagonal of Hendecagon across Four Sides given Circumradius Formula

GoDiagonal of Hendecagon across Four Sides Formula

GoDiagonal of Hendecagon across Four Sides given Area Formula

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Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon. Check FAQs

d 4 = 2 \cdot r c \cdot \sin (\frac{4 \cdot π}{11})

d₄ - Diagonal across Four Sides of Hendecagon?r_c - Circumradius of Hendecagon?π - Archimedes' constant?

Diagonal of Hendecagon across Four Sides given Circumradius Example

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

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

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

16.3734 = 2 \cdot 9 \cdot \sin (\frac{4 \cdot 3.1416}{11})

16.3734m = 2 \cdot 9m \cdot \sin (\frac{4 \cdot 3.1416}{11})

16.3734 = 2 \cdot 9 \cdot \sin (\frac{4 \cdot 3.1416}{11})

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Diagonal of Hendecagon across Four Sides given Circumradius Solution

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

FIRST Step Consider the formula

d 4 = 2 \cdot r c \cdot \sin (\frac{4 \cdot π}{11})

Next Step Substitute values of Variables

∴

d 4 = 2 \cdot 9m \cdot \sin (\frac{4 \cdot π}{11})

Next Step Substitute values of Constants

∴

d 4 = 2 \cdot 9m \cdot \sin (\frac{4 \cdot 3.1416}{11})

Next Step Prepare to Evaluate

∴

d 4 = 2 \cdot 9 \cdot \sin (\frac{4 \cdot 3.1416}{11})

Next Step Evaluate

∴

d 4 = 16.3733759163813m

LAST Step Rounding Answer

∴

d 4 = 16.3734m

Diagonal of Hendecagon across Four Sides given Circumradius Formula Elements

Variables

Constants

Functions

Diagonal across Four Sides of Hendecagon

Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides 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 Diagonal across Four Sides of Hendecagon

Go Diagonal of Hendecagon across Four Sides

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

Go Diagonal of Hendecagon across Four Sides given Area

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

Go Diagonal of Hendecagon across Four Sides given Height

d 4 = 2 \cdot \tan (\frac{π}{22}) \cdot h \cdot \frac{\sin (\frac{4 \cdot π}{11})}{\sin (\frac{π}{11})}

Go Diagonal of Hendecagon across Four Sides given Perimeter

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

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

Diagonal of Hendecagon across Four Sides given Circumradius evaluator uses Diagonal across Four Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((4*pi)/11) to evaluate the Diagonal across Four Sides of Hendecagon, The Diagonal of Hendecagon across Four Sides given Circumradius formula is defined as the straight line connecting two non-adjacent vertices that are across four sides of Hendecagon, calculated using circumradius. Diagonal across Four Sides of Hendecagon is denoted by d₄ symbol.

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

FAQs on Diagonal of Hendecagon across Four Sides given Circumradius

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

The formula of Diagonal of Hendecagon across Four Sides given Circumradius is expressed as Diagonal across Four Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((4*pi)/11). Here is an example- 16.37338 = 2*9*sin((4*pi)/11).

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

With Circumradius of Hendecagon (r_c) we can find Diagonal of Hendecagon across Four Sides given Circumradius using the formula - Diagonal across Four Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((4*pi)/11). This formula also uses Archimedes' constant and Sine function(s).

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

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

Diagonal across Four Sides of Hendecagon=(Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)
Diagonal across Four Sides of Hendecagon=sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((4*pi)/11)/sin(pi/11)
Diagonal across Four Sides of Hendecagon=2*tan(pi/22)*Height of Hendecagon*sin((4*pi)/11)/sin(pi/11)

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

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

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

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

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