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Perimeter of Reuleaux Triangle given Area Formula

GoPerimeter of Reuleaux Triangle Formula

GoPerimeter of Reuleaux Triangle given Arc Length Formula

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Perimeter of Reuleaux Triangle is the total distance around the edge of the Reuleaux Triangle. Check FAQs

P = (\sqrt{\frac{2 \cdot A}{π - \sqrt{3}}}) \cdot π

P - Perimeter of Reuleaux Triangle?A - Area of Reuleaux Triangle?π - Archimedes' constant?

Perimeter of Reuleaux Triangle given Area Example

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

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

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

31.3094 = (\sqrt{\frac{2 \cdot 70}{3.1416 - \sqrt{3}}}) \cdot 3.1416

31.3094m = (\sqrt{\frac{2 \cdot 70m²}{3.1416 - \sqrt{3}}}) \cdot 3.1416

31.3094 = (\sqrt{\frac{2 \cdot 70}{3.1416 - \sqrt{3}}}) \cdot 3.1416

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Perimeter of Reuleaux Triangle given Area Solution

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

FIRST Step Consider the formula

P = (\sqrt{\frac{2 \cdot A}{π - \sqrt{3}}}) \cdot π

Next Step Substitute values of Variables

∴

P = (\sqrt{\frac{2 \cdot 70m²}{π - \sqrt{3}}}) \cdot π

Next Step Substitute values of Constants

∴

P = (\sqrt{\frac{2 \cdot 70m²}{3.1416 - \sqrt{3}}}) \cdot 3.1416

Next Step Prepare to Evaluate

∴

P = (\sqrt{\frac{2 \cdot 70}{3.1416 - \sqrt{3}}}) \cdot 3.1416

Next Step Evaluate

∴

P = 31.3094114392638m

LAST Step Rounding Answer

∴

P = 31.3094m

Perimeter of Reuleaux Triangle given Area Formula Elements

Variables

Constants

Functions

Perimeter of Reuleaux Triangle

Perimeter of Reuleaux Triangle is the total distance around the edge of the Reuleaux Triangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Reuleaux Triangle

Area of Reuleaux Triangle

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Reuleaux Triangle

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

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 Reuleaux Triangle

Go Perimeter of Reuleaux Triangle

P = r \cdot π

Go Perimeter of Reuleaux Triangle given Arc Length

P = (3 \cdot l Arc)

Go Perimeter of Reuleaux Triangle given Edge Length

P = π \cdot l e

How to Evaluate Perimeter of Reuleaux Triangle given Area?

Perimeter of Reuleaux Triangle given Area evaluator uses Perimeter of Reuleaux Triangle = (sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))*pi to evaluate the Perimeter of Reuleaux Triangle, The Perimeter of Reuleaux Triangle given Area formula is defined as the sum of all the outermost parts of the Reuleaux Triangle, calculated using its area. Perimeter of Reuleaux Triangle is denoted by P symbol.

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

FAQs on Perimeter of Reuleaux Triangle given Area

What is the formula to find Perimeter of Reuleaux Triangle given Area?

The formula of Perimeter of Reuleaux Triangle given Area is expressed as Perimeter of Reuleaux Triangle = (sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))*pi. Here is an example- 31.30941 = (sqrt((2*70)/(pi-sqrt(3))))*pi.

How to calculate Perimeter of Reuleaux Triangle given Area?

With Area of Reuleaux Triangle (A) we can find Perimeter of Reuleaux Triangle given Area using the formula - Perimeter of Reuleaux Triangle = (sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))*pi. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Reuleaux Triangle?

Here are the different ways to Calculate Perimeter of Reuleaux Triangle-

Perimeter of Reuleaux Triangle=Radius of Reuleaux Triangle*pi
Perimeter of Reuleaux Triangle=(3*Arc Length of Reuleaux Triangle)
Perimeter of Reuleaux Triangle=pi*Edge Length of Reuleaux Triangle

Can the Perimeter of Reuleaux Triangle given Area be negative?

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

Which unit is used to measure Perimeter of Reuleaux Triangle given Area?

Perimeter of Reuleaux Triangle 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 Reuleaux Triangle given Area can be measured.

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