Arc Length of Reuleaux Triangle given Area Calculator

✖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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✖Arc Length of Reuleaux Triangle is the distance between two points along a section of a curve.ⓘ Arc Length of Reuleaux Triangle given Area [l_Arc]

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Arc Length of Reuleaux Triangle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Reuleaux Triangle: 70 Square Meter --> 70 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (pi*sqrt((2*A)/(pi-sqrt(3))))/3 --> (pi*sqrt((2*70)/(pi-sqrt(3))))/3

Evaluating ... ...

l_Arc = 10.4364704797546

STEP 3: Convert Result to Output's Unit

10.4364704797546 Meter --> No Conversion Required

FINAL ANSWER

10.4364704797546 ≈ 10.43647 Meter <-- Arc Length of Reuleaux Triangle

(Calculation completed in 00.006 seconds)

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< Arc Length of Reuleaux Triangle Calculators

Arc Length of Reuleaux Triangle given Area

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

Arc Length of Reuleaux Triangle given Edge Length

LaTeX Go Arc Length of Reuleaux Triangle = (pi*Edge Length of Reuleaux Triangle)/3

Arc Length of Reuleaux Triangle

LaTeX Go Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3

Arc Length of Reuleaux Triangle given Perimeter

LaTeX Go Arc Length of Reuleaux Triangle = (Perimeter of Reuleaux Triangle)/3

Arc Length of Reuleaux Triangle given Area Formula

LaTeX Go

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

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 Arc Length of Reuleaux Triangle given Area?

Arc Length of Reuleaux Triangle given Area calculator uses Arc Length of Reuleaux Triangle = (pi*sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))/3 to calculate the Arc Length of Reuleaux Triangle, The Arc Length of Reuleaux Triangle given Area formula is defined as the distance between two points along a section of a curve, calculated using its area. Determining the length of an irregular arc segment is also called the rectification of a curve. Arc Length of Reuleaux Triangle is denoted by l_Arc symbol.

How to calculate Arc Length of Reuleaux Triangle given Area using this online calculator? To use this online calculator for Arc Length of Reuleaux Triangle given Area, enter Area of Reuleaux Triangle (A) and hit the calculate button. Here is how the Arc Length of Reuleaux Triangle given Area calculation can be explained with given input values -> 10.43647 = (pi*sqrt((2*70)/(pi-sqrt(3))))/3.

FAQ

What is Arc Length of Reuleaux Triangle given Area?

The Arc Length of Reuleaux Triangle given Area formula is defined as the distance between two points along a section of a curve, calculated using its area. Determining the length of an irregular arc segment is also called the rectification of a curve and is represented as l_Arc = (pi*sqrt((2*A)/(pi-sqrt(3))))/3 or Arc Length of Reuleaux Triangle = (pi*sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))/3. The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.

How to calculate Arc Length of Reuleaux Triangle given Area?

The Arc Length of Reuleaux Triangle given Area formula is defined as the distance between two points along a section of a curve, calculated using its area. Determining the length of an irregular arc segment is also called the rectification of a curve is calculated using Arc Length of Reuleaux Triangle = (pi*sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))/3. To calculate Arc Length of Reuleaux Triangle given Area, you need Area of Reuleaux Triangle (A). With our tool, you need to enter the respective value for Area 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 Arc Length of Reuleaux Triangle?

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

Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3
Arc Length of Reuleaux Triangle = (Perimeter of Reuleaux Triangle)/3
Arc Length of Reuleaux Triangle = (pi*Edge Length of Reuleaux Triangle)/3

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