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Side of Nonagon given Circumradius Formula

GoSide of Nonagon given Area Formula

GoSide of Nonagon given Height Formula

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

S = 2 \cdot r c \cdot \sin (\frac{π}{9})

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

Side of Nonagon given Circumradius Example

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

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

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

8.2085 = 2 \cdot 12 \cdot \sin (\frac{3.1416}{9})

8.2085m = 2 \cdot 12m \cdot \sin (\frac{3.1416}{9})

8.2085 = 2 \cdot 12 \cdot \sin (\frac{3.1416}{9})

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Side of Nonagon given Circumradius Solution

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

FIRST Step Consider the formula

S = 2 \cdot r c \cdot \sin (\frac{π}{9})

Next Step Substitute values of Variables

∴

S = 2 \cdot 12m \cdot \sin (\frac{π}{9})

Next Step Substitute values of Constants

∴

S = 2 \cdot 12m \cdot \sin (\frac{3.1416}{9})

Next Step Prepare to Evaluate

∴

S = 2 \cdot 12 \cdot \sin (\frac{3.1416}{9})

Next Step Evaluate

∴

S = 8.20848343981605m

LAST Step Rounding Answer

∴

S = 8.2085m

Side of Nonagon given Circumradius Formula Elements

Variables

Constants

Functions

Side of Nonagon

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

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Nonagon

Circumradius of Nonagon

The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Nonagon

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 Nonagon

Go Side of Nonagon given Area

S = \sqrt{\frac{4}{9} \cdot (\frac{A}{\cot (\frac{π}{9})})}

Go Side of Nonagon given Height

S = (\frac{2 \cdot \sin (\frac{π}{9})}{1 + \cos (\frac{π}{9})}) \cdot h

How to Evaluate Side of Nonagon given Circumradius?

Side of Nonagon given Circumradius evaluator uses Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9) to evaluate the Side of Nonagon, Side of Nonagon given Circumradius formula is defined as the length of the line connecting two adjacent vertices of Nonagon, calculated using circumradius. Side of Nonagon is denoted by S symbol.

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

FAQs on Side of Nonagon given Circumradius

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

The formula of Side of Nonagon given Circumradius is expressed as Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9). Here is an example- 8.208483 = 2*12*sin(pi/9).

How to calculate Side of Nonagon given Circumradius?

With Circumradius of Nonagon (r_c) we can find Side of Nonagon given Circumradius using the formula - Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Side of Nonagon?

Here are the different ways to Calculate Side of Nonagon-

Side of Nonagon=sqrt(4/9*(Area of Nonagon/cot(pi/9)))
Side of Nonagon=((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon

Can the Side of Nonagon given Circumradius be negative?

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

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

Side of Nonagon 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 Nonagon given Circumradius can be measured.

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