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Area of Reuleaux Triangle given Arc Length Formula

GoArea of Reuleaux Triangle 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 = \frac{(π - \sqrt{3}) \cdot {(\frac{3 \cdot l Arc}{π})}^{2}}{2}

A - Area of Reuleaux Triangle?l_Arc - Arc Length of Reuleaux Triangle?π - Archimedes' constant?

Area of Reuleaux Triangle given Arc Length Example

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

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

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

77.7636 = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{3 \cdot 11}{3.1416})}^{2}}{2}

77.7636m² = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{3 \cdot 11m}{3.1416})}^{2}}{2}

77.7636 = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{3 \cdot 11}{3.1416})}^{2}}{2}

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Area of Reuleaux Triangle given Arc Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{(π - \sqrt{3}) \cdot {(\frac{3 \cdot 11m}{π})}^{2}}{2}

Next Step Substitute values of Constants

∴

A = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{3 \cdot 11m}{3.1416})}^{2}}{2}

Next Step Prepare to Evaluate

∴

A = \frac{(3.1416 - \sqrt{3}) \cdot {(\frac{3 \cdot 11}{3.1416})}^{2}}{2}

Next Step Evaluate

∴

A = 77.7635560624574m²

LAST Step Rounding Answer

∴

A = 77.7636m²

Area of Reuleaux Triangle given Arc Length 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

Arc Length of Reuleaux Triangle

Arc Length of Reuleaux Triangle is the distance between two points along a section of a curve.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length 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 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 given Arc Length?

Area of Reuleaux Triangle given Arc Length evaluator uses Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2 to evaluate the Area of Reuleaux Triangle, The Area of Reuleaux Triangle given Arc Length 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 arc length. Area of Reuleaux Triangle is denoted by A symbol.

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

FAQs on Area of Reuleaux Triangle given Arc Length

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

The formula of Area of Reuleaux Triangle given Arc Length is expressed as Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2. Here is an example- 77.76356 = ((pi-sqrt(3))*((3*11)/pi)^2)/2.

How to calculate Area of Reuleaux Triangle given Arc Length?

With Arc Length of Reuleaux Triangle (l_Arc) we can find Area of Reuleaux Triangle given Arc Length using the formula - Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length 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))*(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 given Arc Length be negative?

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

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

Area of Reuleaux Triangle given Arc Length 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 Arc Length can be measured.

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