Arc Length of Reuleaux Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3
lArc = (pi*r)/3
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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
lArc = (pi*r)/3 --> (pi*10)/3
Evaluating ... ...
lArc = 10.471975511966
STEP 3: Convert Result to Output's Unit
10.471975511966 Meter --> No Conversion Required
FINAL ANSWER
10.471975511966 10.47198 Meter <-- Arc Length of Reuleaux Triangle
(Calculation completed in 00.004 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Formula

​LaTeX ​Go
Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3
lArc = (pi*r)/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?

Arc Length of Reuleaux Triangle calculator uses Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3 to calculate the Arc Length of Reuleaux Triangle, The Arc Length of Reuleaux Triangle formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment, also called the rectification of a curve. Arc Length of Reuleaux Triangle is denoted by lArc symbol.

How to calculate Arc Length of Reuleaux Triangle using this online calculator? To use this online calculator for Arc Length of Reuleaux Triangle, enter Radius of Reuleaux Triangle (r) and hit the calculate button. Here is how the Arc Length of Reuleaux Triangle calculation can be explained with given input values -> 10.47198 = (pi*10)/3.

FAQ

What is Arc Length of Reuleaux Triangle?
The Arc Length of Reuleaux Triangle formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment, also called the rectification of a curve and is represented as lArc = (pi*r)/3 or Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3. The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.
How to calculate Arc Length of Reuleaux Triangle?
The Arc Length of Reuleaux Triangle formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment, also called the rectification of a curve is calculated using Arc Length of Reuleaux Triangle = (pi*Radius of Reuleaux Triangle)/3. To calculate Arc Length 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 Arc Length of Reuleaux Triangle?
In this formula, Arc Length of Reuleaux Triangle uses Radius of Reuleaux Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Arc Length of Reuleaux Triangle = (Perimeter of Reuleaux Triangle)/3
  • Arc Length of Reuleaux Triangle = (pi*sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))))/3
  • Arc Length of Reuleaux Triangle = (pi*Edge Length of Reuleaux Triangle)/3
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