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Area of Nonagon Formula

GoArea of Nonagon given Height Formula

GoArea of Nonagon given Inradius Formula

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

A = \frac{9}{4} \cdot S^{2} \cdot \cot (\frac{π}{9})

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

Area of Nonagon Example

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

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

Here is how the Area of Nonagon equation looks like.

395.6367 = \frac{9}{4} \cdot 8^{2} \cdot \cot (\frac{3.1416}{9})

395.6367m² = \frac{9}{4} \cdot {8m}^{2} \cdot \cot (\frac{3.1416}{9})

395.6367 = \frac{9}{4} \cdot 8^{2} \cdot \cot (\frac{3.1416}{9})

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Area of Nonagon Solution

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

FIRST Step Consider the formula

A = \frac{9}{4} \cdot S^{2} \cdot \cot (\frac{π}{9})

Next Step Substitute values of Variables

∴

A = \frac{9}{4} \cdot {8m}^{2} \cdot \cot (\frac{π}{9})

Next Step Substitute values of Constants

∴

A = \frac{9}{4} \cdot {8m}^{2} \cdot \cot (\frac{3.1416}{9})

Next Step Prepare to Evaluate

∴

A = \frac{9}{4} \cdot 8^{2} \cdot \cot (\frac{3.1416}{9})

Next Step Evaluate

∴

A = 395.636748401466m²

LAST Step Rounding Answer

∴

A = 395.6367m²

Area of Nonagon Formula Elements

Variables

Constants

Functions

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

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

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)

Other Formulas to find Area of Nonagon

Go Area of Nonagon given Height

A = \frac{{(\frac{3 \cdot \sin (\frac{π}{9}) \cdot h}{1 + \cos (\frac{π}{9})})}^{2}}{\tan (\frac{π}{9})}

Go Area of Nonagon given Inradius

A = 9 \cdot {r i}^{2} \cdot \tan (\frac{π}{9})

Go Area of Nonagon given Perimeter

A = \frac{P^{2} \cdot \cot (\frac{π}{9})}{36}

How to Evaluate Area of Nonagon?

Area of Nonagon evaluator uses Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9) to evaluate the Area of Nonagon, Area of Nonagon formula is defined as the amount of 2-dimensional space occupied by Nonagon in space. Area of Nonagon is denoted by A symbol.

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

FAQs on Area of Nonagon

What is the formula to find Area of Nonagon?

The formula of Area of Nonagon is expressed as Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9). Here is an example- 395.6367 = 9/4*8^2*cot(pi/9).

How to calculate Area of Nonagon?

With Side of Nonagon (S) we can find Area of Nonagon using the formula - Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9). This formula also uses Archimedes' constant and Cotangent (cot) function(s).

What are the other ways to Calculate Area of Nonagon?

Here are the different ways to Calculate Area of Nonagon-

Area of Nonagon=(((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))
Area of Nonagon=9*Inradius of Nonagon^2*tan(pi/9)
Area of Nonagon=(Perimeter of Nonagon^2*cot(pi/9))/36

Can the Area of Nonagon be negative?

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

Which unit is used to measure Area of Nonagon?

Area of Nonagon is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Nonagon can be measured.

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