Area of Reuleaux Triangle Calculator

✖The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.ⓘ Radius of Reuleaux Triangle [r]

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

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Area of Reuleaux Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2
A = (pi-sqrt(3))*(r^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.
Radius of Reuleaux Triangle - (Measured in Meter) - The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.

STEP 1: Convert Input(s) to Base Unit

Radius of Reuleaux Triangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (pi-sqrt(3))*(r^2)/2 --> (pi-sqrt(3))*(10^2)/2

Evaluating ... ...

A = 70.4770923010458

STEP 3: Convert Result to Output's Unit

70.4770923010458 Square Meter --> No Conversion Required

FINAL ANSWER

70.4770923010458 ≈ 70.47709 Square Meter <-- Area of Reuleaux Triangle

(Calculation completed in 00.006 seconds)

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< Area of Reuleaux Triangle Calculators

Area of Reuleaux Triangle given Arc Length

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

Area of Reuleaux Triangle given Perimeter

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

Area of Reuleaux Triangle given Edge Length

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

Area of Reuleaux Triangle

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

Area of Reuleaux Triangle Formula

LaTeX Go

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

Area of Reuleaux Triangle calculator uses Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2 to calculate 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 calculate Area of Reuleaux Triangle using this online calculator? To use this online calculator for Area of Reuleaux Triangle, enter Radius of Reuleaux Triangle (r) and hit the calculate button. Here is how the Area of Reuleaux Triangle calculation can be explained with given input values -> 70.47709 = (pi-sqrt(3))*(10^2)/2.

FAQ

What is 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 and is represented as A = (pi-sqrt(3))*(r^2)/2 or Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2. The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.

How to calculate 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 is calculated using Area of Reuleaux Triangle = (pi-sqrt(3))*(Radius of Reuleaux Triangle^2)/2. To calculate Area of Reuleaux Triangle, you need Radius of Reuleaux Triangle (r). With our tool, you need to enter the respective value for Radius 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 Radius 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))*((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

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