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Arc length of Reuleaux Triangle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = ((Perimeter/pi)*pi)/3
s = ((P/pi)*pi)/3
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((P/pi)*pi)/3 --> ((20/pi)*pi)/3
Evaluating ... ...
s = 6.66666666666667
STEP 3: Convert Result to Output's Unit
6.66666666666667 Meter --> No Conversion Required
FINAL ANSWER
6.66666666666667 Meter <-- Arc Length
(Calculation completed in 00.000 seconds)

3 Arc length of Reuleaux Triangle Calculators

Arc length of Reuleaux Triangle given area
arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3 Go
Arc length of Reuleaux Triangle given perimeter
arc_length = ((Perimeter/pi)*pi)/3 Go
Arc length of Reuleaux Triangle
arc_length = (Radius*pi)/3 Go

Arc length of Reuleaux Triangle given perimeter Formula

arc_length = ((Perimeter/pi)*pi)/3
s = ((P/pi)*pi)/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 perimeter?

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

How to calculate Arc length of Reuleaux Triangle given perimeter using this online calculator? To use this online calculator for Arc length of Reuleaux Triangle given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Arc length of Reuleaux Triangle given perimeter calculation can be explained with given input values -> 6.666667 = ((20/pi)*pi)/3.

FAQ

What is Arc length of Reuleaux Triangle given perimeter?
The Arc length of Reuleaux Triangle given perimeter formula is defined as distance between two points along a section of a curve , determining the length of an irregular arc segment is also called rectification of a curve and is represented as s = ((P/pi)*pi)/3 or arc_length = ((Perimeter/pi)*pi)/3. The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Arc length of Reuleaux Triangle given perimeter?
The Arc length of Reuleaux Triangle given perimeter formula is defined as distance between two points along a section of a curve , determining the length of an irregular arc segment is also called rectification of a curve is calculated using arc_length = ((Perimeter/pi)*pi)/3. To calculate Arc length of Reuleaux Triangle given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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?
In this formula, Arc Length uses Perimeter. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • arc_length = (Radius*pi)/3
  • arc_length = ((Perimeter/pi)*pi)/3
  • arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3
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