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Arc length of Reuleaux Triangle given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3
s = ((sqrt((2*A)/(pi-sqrt(3))))*pi)/3
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((sqrt((2*A)/(pi-sqrt(3))))*pi)/3 --> ((sqrt((2*50)/(pi-sqrt(3))))*pi)/3
Evaluating ... ...
s = 8.82042743031315
STEP 3: Convert Result to Output's Unit
8.82042743031315 Meter --> No Conversion Required
FINAL ANSWER
8.82042743031315 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 area Formula

arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3
s = ((sqrt((2*A)/(pi-sqrt(3))))*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 area?

Arc length of Reuleaux Triangle given area calculator uses arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3 to calculate the Arc Length, The Arc length of Reuleaux Triangle given area 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 area using this online calculator? To use this online calculator for Arc length of Reuleaux Triangle given area, enter Area (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 -> 8.820427 = ((sqrt((2*50)/(pi-sqrt(3))))*pi)/3.

FAQ

What is Arc length of Reuleaux Triangle given area?
The Arc length of Reuleaux Triangle given area 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 = ((sqrt((2*A)/(pi-sqrt(3))))*pi)/3 or arc_length = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3. The area is the amount of two-dimensional space taken up by an object.
How to calculate Arc length of Reuleaux Triangle given area?
The Arc length of Reuleaux Triangle given area 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 = ((sqrt((2*Area)/(pi-sqrt(3))))*pi)/3. To calculate Arc length of Reuleaux Triangle given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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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