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Side of Nonagon given Area Formula

GoSide of Nonagon given Circumradius 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 = \sqrt{\frac{4}{9} \cdot (\frac{A}{\cot (\frac{π}{9})})}

S - Side of Nonagon?A - Area of Nonagon?π - Archimedes' constant?

Side of Nonagon given Area Example

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

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

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

7.9936 = \sqrt{\frac{4}{9} \cdot (\frac{395}{\cot (\frac{3.1416}{9})})}

7.9936m = \sqrt{\frac{4}{9} \cdot (\frac{395m²}{\cot (\frac{3.1416}{9})})}

7.9936 = \sqrt{\frac{4}{9} \cdot (\frac{395}{\cot (\frac{3.1416}{9})})}

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Side of Nonagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \sqrt{\frac{4}{9} \cdot (\frac{395m²}{\cot (\frac{π}{9})})}

Next Step Substitute values of Constants

∴

S = \sqrt{\frac{4}{9} \cdot (\frac{395m²}{\cot (\frac{3.1416}{9})})}

Next Step Prepare to Evaluate

∴

S = \sqrt{\frac{4}{9} \cdot (\frac{395}{\cot (\frac{3.1416}{9})})}

Next Step Evaluate

∴

S = 7.99355970030179m

LAST Step Rounding Answer

∴

S = 7.9936m

Side of Nonagon given Area 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

Area of Nonagon

The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Side of Nonagon

Go Side of Nonagon given Circumradius

S = 2 \cdot r c \cdot \sin (\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 Area?

Side of Nonagon given Area evaluator uses Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9))) to evaluate the Side of Nonagon, Side of Nonagon given Area formula is defined as a line connecting two adjacent vertices of Nonagon, calculated using the area. Side of Nonagon is denoted by S symbol.

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

FAQs on Side of Nonagon given Area

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

The formula of Side of Nonagon given Area is expressed as Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9))). Here is an example- 7.99356 = sqrt(4/9*(395/cot(pi/9))).

How to calculate Side of Nonagon given Area?

With Area of Nonagon (A) we can find Side of Nonagon given Area using the formula - Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9))). This formula also uses Archimedes' constant and , Cotangent (cot), Square Root (sqrt) 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=2*Circumradius of Nonagon*sin(pi/9)
Side of Nonagon=((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon

Can the Side of Nonagon given Area be negative?

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

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

Side of Nonagon given Area 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 Area can be measured.

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