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Side of Nonagon given Height Formula

GoSide of Nonagon given Area Formula

GoSide of Nonagon given Circumradius 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 = (\frac{2 \cdot \sin (\frac{π}{9})}{1 + \cos (\frac{π}{9})}) \cdot h

S - Side of Nonagon?h - Height of Nonagon?π - Archimedes' constant?

Side of Nonagon given Height Example

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

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

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

7.7584 = (\frac{2 \cdot \sin (\frac{3.1416}{9})}{1 + \cos (\frac{3.1416}{9})}) \cdot 22

7.7584m = (\frac{2 \cdot \sin (\frac{3.1416}{9})}{1 + \cos (\frac{3.1416}{9})}) \cdot 22m

7.7584 = (\frac{2 \cdot \sin (\frac{3.1416}{9})}{1 + \cos (\frac{3.1416}{9})}) \cdot 22

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Side of Nonagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = (\frac{2 \cdot \sin (\frac{π}{9})}{1 + \cos (\frac{π}{9})}) \cdot 22m

Next Step Substitute values of Constants

∴

S = (\frac{2 \cdot \sin (\frac{3.1416}{9})}{1 + \cos (\frac{3.1416}{9})}) \cdot 22m

Next Step Prepare to Evaluate

∴

S = (\frac{2 \cdot \sin (\frac{3.1416}{9})}{1 + \cos (\frac{3.1416}{9})}) \cdot 22

Next Step Evaluate

∴

S = 7.75838715117246m

LAST Step Rounding Answer

∴

S = 7.7584m

Side of Nonagon given Height 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

Height of Nonagon

Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Circumradius

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

How to Evaluate Side of Nonagon given Height?

Side of Nonagon given Height evaluator uses Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon to evaluate the Side of Nonagon, Side of Nonagon given Height formula is defined as the length of the line segment connecting two adjacent vertices of Nonagon, calculated using height. Side of Nonagon is denoted by S symbol.

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

FAQs on Side of Nonagon given Height

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

The formula of Side of Nonagon given Height is expressed as Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon. Here is an example- 7.758387 = ((2*sin(pi/9))/(1+cos(pi/9)))*22.

How to calculate Side of Nonagon given Height?

With Height of Nonagon (h) we can find Side of Nonagon given Height using the formula - Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon. This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) 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*Circumradius of Nonagon*sin(pi/9)

Can the Side of Nonagon given Height be negative?

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

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

Side of Nonagon given Height 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 Height can be measured.

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