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Area of Nonagon given Circumradius 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}{2} \cdot {r c}^{2} \cdot \sin (2 \cdot \frac{π}{9})

A - Area of Nonagon?r_c - Circumradius of Nonagon?π - Archimedes' constant?

Area of Nonagon given Circumradius Example

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

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

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

416.5264 = \frac{9}{2} \cdot 12^{2} \cdot \sin (2 \cdot \frac{3.1416}{9})

416.5264m² = \frac{9}{2} \cdot {12m}^{2} \cdot \sin (2 \cdot \frac{3.1416}{9})

416.5264 = \frac{9}{2} \cdot 12^{2} \cdot \sin (2 \cdot \frac{3.1416}{9})

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Area of Nonagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 416.526371076877m²

LAST Step Rounding Answer

∴

A = 416.5264m²

Area of Nonagon given Circumradius 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

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 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}

Go Area of Nonagon

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

How to Evaluate Area of Nonagon given Circumradius?

Area of Nonagon given Circumradius evaluator uses Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9) to evaluate the Area of Nonagon, The Area of Nonagon given Circumradius formula is defined as the amount of 2-dimensional space or region occupied by Nonagon in space, calculated using circumradius. Area of Nonagon is denoted by A symbol.

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

FAQs on Area of Nonagon given Circumradius

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

The formula of Area of Nonagon given Circumradius is expressed as Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9). Here is an example- 416.5264 = 9/2*12^2*sin(2*pi/9).

How to calculate Area of Nonagon given Circumradius?

With Circumradius of Nonagon (r_c) we can find Area of Nonagon given Circumradius using the formula - Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9). This formula also uses Archimedes' constant and Sine (sin) 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 given Circumradius be negative?

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

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

Area of Nonagon given Circumradius 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 Circumradius can be measured.

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