Area of Reuleaux Triangle given Perimeter Calculator

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

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Area of Reuleaux Triangle given Perimeter

Formula

`"A" = ((pi-sqrt(3))*("P"/pi)^2)/2`

Example

`"64.2674m²"=((pi-sqrt(3))*("30m"/pi)^2)/2`

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Area of Reuleaux Triangle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2
A = ((pi-sqrt(3))*(P/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.
Perimeter of Reuleaux Triangle - (Measured in Meter) - Perimeter of Reuleaux Triangle is the total distance around the edge of the Reuleaux Triangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Reuleaux Triangle: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((pi-sqrt(3))*(P/pi)^2)/2 --> ((pi-sqrt(3))*(30/pi)^2)/2

Evaluating ... ...

A = 64.2674017045103

STEP 3: Convert Result to Output's Unit

64.2674017045103 Square Meter --> No Conversion Required

FINAL ANSWER

64.2674017045103 ≈ 64.2674 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 Perimeter Formula

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

Area of Reuleaux Triangle given Perimeter calculator uses Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2 to calculate 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 calculate Area of Reuleaux Triangle given Perimeter using this online calculator? To use this online calculator for Area of Reuleaux Triangle given Perimeter, enter Perimeter of Reuleaux Triangle (P) and hit the calculate button. Here is how the Area of Reuleaux Triangle given Perimeter calculation can be explained with given input values -> 64.2674 = ((pi-sqrt(3))*(30/pi)^2)/2.

FAQ

What is Area of Reuleaux Triangle given Perimeter?

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 and is represented as A = ((pi-sqrt(3))*(P/pi)^2)/2 or Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2. Perimeter of Reuleaux Triangle is the total distance around the edge of the Reuleaux Triangle.

How to calculate Area of Reuleaux Triangle given Perimeter?

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 is calculated using Area of Reuleaux Triangle = ((pi-sqrt(3))*(Perimeter of Reuleaux Triangle/pi)^2)/2. To calculate Area of Reuleaux Triangle given Perimeter, you need Perimeter of Reuleaux Triangle (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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))*((3*Arc Length of Reuleaux Triangle)/pi)^2)/2
Area of Reuleaux Triangle = ((Edge Length of Reuleaux Triangle^2)*(pi-(sqrt(3))))/2

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