Area of Reuleaux Triangle given Arc Length Calculator

✖The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.ⓘ Area of Reuleaux Triangle given Arc Length [A]

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Area of Reuleaux Triangle given Arc Length

Formula

`"A" = ((pi-sqrt(3))*((3*"l"_{"Arc"})/pi)^2)/2`

Example

`"77.76356m²"=((pi-sqrt(3))*((3*"11m")/pi)^2)/2`

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Area of Reuleaux Triangle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2
A = ((pi-sqrt(3))*((3*l_Arc)/pi)^2)/2
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Area of Reuleaux Triangle - (Measured in Square Meter) - The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.
Arc Length of Reuleaux Triangle - (Measured in Meter) - Arc Length of Reuleaux Triangle is the distance between two points along a section of a curve.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Reuleaux Triangle: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((pi-sqrt(3))*((3*l_Arc)/pi)^2)/2 --> ((pi-sqrt(3))*((3*11)/pi)^2)/2

Evaluating ... ...

A = 77.7635560624574

STEP 3: Convert Result to Output's Unit

77.7635560624574 Square Meter --> No Conversion Required

FINAL ANSWER

77.7635560624574 ≈ 77.76356 Square Meter <-- Area of Reuleaux Triangle

(Calculation completed in 00.004 seconds)

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< 4 Area of Reuleaux Triangle Calculators

Area of Reuleaux Triangle given Arc Length

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

Area of Reuleaux Triangle given Perimeter

Go Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2

Area of Reuleaux Triangle given Edge Length

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

Area of Reuleaux Triangle

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

Area of Reuleaux Triangle given Arc Length Formula

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

What is Reuleaux Triangle?

A Reuleaux Triangle is a shape formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary is a curve of constant width, the simplest and best known such curve other than the circle itself. It is a Reuleaux polygon, a curve of constant width formed of circular arcs. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation.

How to Calculate Area of Reuleaux Triangle given Arc Length?

Area of Reuleaux Triangle given Arc Length calculator uses Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2 to calculate 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 calculate Area of Reuleaux Triangle given Arc Length using this online calculator? To use this online calculator for Area of Reuleaux Triangle given Arc Length, enter Arc Length of Reuleaux Triangle (l_Arc) and hit the calculate button. Here is how the Area of Reuleaux Triangle given Arc Length calculation can be explained with given input values -> 77.76356 = ((pi-sqrt(3))*((3*11)/pi)^2)/2.

FAQ

What is Area of Reuleaux Triangle given Arc Length?

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 and is represented as A = ((pi-sqrt(3))*((3*l_Arc)/pi)^2)/2 or Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2. Arc Length of Reuleaux Triangle is the distance between two points along a section of a curve.

How to calculate Area of Reuleaux Triangle given Arc Length?

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 is calculated using Area of Reuleaux Triangle = ((pi-sqrt(3))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2. To calculate Area of Reuleaux Triangle given Arc Length, you need Arc Length of Reuleaux Triangle (l_Arc). With our tool, you need to enter the respective value for Arc Length of Reuleaux Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Reuleaux Triangle?

In this formula, Area of Reuleaux Triangle uses Arc Length of Reuleaux Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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