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Area of Reuleaux Triangle given Perimeter Formula

GoArea of Reuleaux Triangle Formula

GoArea of Reuleaux Triangle given Arc Length Formula

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

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

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

Area of Reuleaux Triangle given Perimeter Example

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

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

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

64.2674 = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{30}{3.1416})}^{2}}{2}

64.2674m² = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{30m}{3.1416})}^{2}}{2}

64.2674 = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{30}{3.1416})}^{2}}{2}

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Area of Reuleaux Triangle given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{(π - \sqrt{3}) \cdot {(\frac{30m}{π})}^{2}}{2}

Next Step Substitute values of Constants

∴

A = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{30m}{3.1416})}^{2}}{2}

Next Step Prepare to Evaluate

∴

A = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{30}{3.1416})}^{2}}{2}

Next Step Evaluate

∴

A = 64.2674017045103m²

LAST Step Rounding Answer

∴

A = 64.2674m²

Area of Reuleaux Triangle given Perimeter Formula Elements

Variables

Constants

Functions

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

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

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 Area of Reuleaux Triangle

Go Area of Reuleaux Triangle

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

Go Area of Reuleaux Triangle given Arc Length

A = \frac{(π - \sqrt{3}) \cdot {(\frac{3 \cdot l Arc}{π})}^{2}}{2}

Go Area of Reuleaux Triangle given Edge Length

A = \frac{({l e}^{2}) \cdot (π - (\sqrt{3}))}{2}

How to Evaluate Area of Reuleaux Triangle given Perimeter?

Area of Reuleaux Triangle given Perimeter evaluator uses Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2 to evaluate the Area of Reuleaux Triangle, The Area of Reuleaux Triangle given Perimeter formula is defined as the measure of the total space or region that the surface of the object occupies of a Reuleaux triangle, calculated using its perimeter. Area of Reuleaux Triangle is denoted by A symbol.

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

FAQs on Area of Reuleaux Triangle given Perimeter

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

The formula of Area of Reuleaux Triangle given Perimeter is expressed as Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2. Here is an example- 64.2674 = ((pi-sqrt(3))*(30/pi)^2)/2.

How to calculate Area of Reuleaux Triangle given Perimeter?

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

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

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

Area of Reuleaux Triangle=(pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2
Area of Reuleaux Triangle=((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2
Area of Reuleaux Triangle=((Edge Length of Reuleaux Triangle^2)*(pi-(sqrt(3))))/2

Can the Area of Reuleaux Triangle given Perimeter be negative?

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

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

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

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