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Perimeter of Nonagon given Area Formula

GoPerimeter of Nonagon Formula

GoPerimeter of Nonagon given Inradius Formula

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

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

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

Perimeter of Nonagon given Area Example

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

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

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

71.942 = 9 \cdot \sqrt{\frac{4 \cdot 395}{9 \cdot \cot (\frac{3.1416}{9})}}

71.942m = 9 \cdot \sqrt{\frac{4 \cdot 395m²}{9 \cdot \cot (\frac{3.1416}{9})}}

71.942 = 9 \cdot \sqrt{\frac{4 \cdot 395}{9 \cdot \cot (\frac{3.1416}{9})}}

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Perimeter of Nonagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P = 71.9420373027161m

LAST Step Rounding Answer

∴

P = 71.942m

Perimeter of Nonagon given Area Formula Elements

Variables

Constants

Functions

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

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 Perimeter of Nonagon

Go Perimeter of Nonagon

P = 9 \cdot S

Go Perimeter of Nonagon given Inradius

P = 18 \cdot r i \cdot \tan (\frac{π}{9})

How to Evaluate Perimeter of Nonagon given Area?

Perimeter of Nonagon given Area evaluator uses Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))) to evaluate the Perimeter of Nonagon, Perimeter of Nonagon given Area formula is defined as the length of the boundary of the Nonagon, calculated using area. Perimeter of Nonagon is denoted by P symbol.

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

FAQs on Perimeter of Nonagon given Area

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

The formula of Perimeter of Nonagon given Area is expressed as Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))). Here is an example- 71.94204 = 9*sqrt((4*395)/(9*cot(pi/9))).

How to calculate Perimeter of Nonagon given Area?

With Area of Nonagon (A) we can find Perimeter of Nonagon given Area using the formula - Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))). This formula also uses Archimedes' constant and , Cotangent (cot), Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Nonagon?

Here are the different ways to Calculate Perimeter of Nonagon-

Perimeter of Nonagon=9*Side of Nonagon
Perimeter of Nonagon=18*Inradius of Nonagon*tan(pi/9)

Can the Perimeter of Nonagon given Area be negative?

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

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

Perimeter 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 Perimeter of Nonagon given Area can be measured.

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