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Area of Reuleaux Triangle Formula

GoArea of Reuleaux Triangle given Arc Length Formula

GoArea of Reuleaux Triangle given Perimeter 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 = (π - \sqrt{3}) \cdot \frac{r^{2}}{2}

A - Area of Reuleaux Triangle?r - Radius of Reuleaux Triangle?π - Archimedes' constant?

Area of Reuleaux Triangle Example

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

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

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

70.4771 = (3.1416 - \sqrt{3}) \cdot \frac{10^{2}}{2}

70.4771m² = (3.1416 - \sqrt{3}) \cdot \frac{{10m}^{2}}{2}

70.4771 = (3.1416 - \sqrt{3}) \cdot \frac{10^{2}}{2}

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Area of Reuleaux Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = (π - \sqrt{3}) \cdot \frac{{10m}^{2}}{2}

Next Step Substitute values of Constants

∴

A = (3.1416 - \sqrt{3}) \cdot \frac{{10m}^{2}}{2}

Next Step Prepare to Evaluate

∴

A = (3.1416 - \sqrt{3}) \cdot \frac{10^{2}}{2}

Next Step Evaluate

∴

A = 70.4770923010458m²

LAST Step Rounding Answer

∴

A = 70.4771m²

Area of Reuleaux Triangle 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

Radius of Reuleaux Triangle

The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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 given Arc Length

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

Go Area of Reuleaux Triangle given Perimeter

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

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

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

FAQs on Area of Reuleaux Triangle

What is the formula to find Area of Reuleaux Triangle?

The formula of Area of Reuleaux Triangle is expressed as Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2. Here is an example- 70.47709 = (pi-sqrt(3))*(10^2)/2.

How to calculate Area of Reuleaux Triangle?

With Radius of Reuleaux Triangle (r) we can find Area of Reuleaux Triangle using the formula - Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^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))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2
Area of Reuleaux Triangle=((pi-sqrt(3))*(Perimeter 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 be negative?

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

Which unit is used to measure Area of Reuleaux Triangle?

Area of Reuleaux Triangle 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 can be measured.

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