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Area of Nonagon given Perimeter Formula

GoArea of Nonagon Formula

GoArea of Nonagon given Height 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{P^{2} \cdot \cot (\frac{π}{9})}{36}

A - Area of Nonagon?P - Perimeter of Nonagon?π - Archimedes' constant?

Area of Nonagon given Perimeter Example

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

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

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

373.9622 = \frac{70^{2} \cdot \cot (\frac{3.1416}{9})}{36}

373.9622m² = \frac{{70m}^{2} \cdot \cot (\frac{3.1416}{9})}{36}

373.9622 = \frac{70^{2} \cdot \cot (\frac{3.1416}{9})}{36}

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Area of Nonagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{{70m}^{2} \cdot \cot (\frac{π}{9})}{36}

Next Step Substitute values of Constants

∴

A = \frac{{70m}^{2} \cdot \cot (\frac{3.1416}{9})}{36}

Next Step Prepare to Evaluate

∴

A = \frac{70^{2} \cdot \cot (\frac{3.1416}{9})}{36}

Next Step Evaluate

∴

A = 373.962204314657m²

LAST Step Rounding Answer

∴

A = 373.9622m²

Area of Nonagon given Perimeter 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

Perimeter of Nonagon

Perimeter of Nonagon is the total distance around the edge of the Nonagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

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})

How to Evaluate Area of Nonagon given Perimeter?

Area of Nonagon given Perimeter evaluator uses Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36 to evaluate the Area of Nonagon, Area of Nonagon given Perimeter formula is defined as amount or quantity of space occupied by Nonagon in given plane, calculated using perimeter. Area of Nonagon is denoted by A symbol.

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

FAQs on Area of Nonagon given Perimeter

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

The formula of Area of Nonagon given Perimeter is expressed as Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36. Here is an example- 373.9622 = (70^2*cot(pi/9))/36.

How to calculate Area of Nonagon given Perimeter?

With Perimeter of Nonagon (P) we can find Area of Nonagon given Perimeter using the formula - Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36. 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=9/4*Side of Nonagon^2*cot(pi/9)
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)

Can the Area of Nonagon given Perimeter be negative?

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

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

Area of Nonagon given Perimeter 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 given Perimeter can be measured.

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