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Area of Reuleaux Triangle given arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2
A = ((pi-sqrt(3))*(((3*s)/pi)^2))/2
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
Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((pi-sqrt(3))*(((3*s)/pi)^2))/2 --> ((pi-sqrt(3))*(((3*2.4)/pi)^2))/2
Evaluating ... ...
A = 3.70180233817979
STEP 3: Convert Result to Output's Unit
3.70180233817979 Square Meter --> No Conversion Required
FINAL ANSWER
3.70180233817979 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

3 Area of Reuleaux Triangle Calculators

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

Area of Reuleaux Triangle given arc length Formula

area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2
A = ((pi-sqrt(3))*(((3*s)/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 arc length?

Area of Reuleaux Triangle given arc length calculator uses area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2 to calculate the Area, The Area of Reuleaux Triangle given arc length formula is defined as measure of the total area that the surface of the object occupies of a reuleaux triangle , where area = area of reuleaux triangle. Area and is denoted by A symbol.

How to calculate Area of Reuleaux Triangle given arc length using this online calculator? To use this online calculator for Area of Reuleaux Triangle given arc length, enter Arc Length (s) and hit the calculate button. Here is how the Area of Reuleaux Triangle given arc length calculation can be explained with given input values -> 3.701802 = ((pi-sqrt(3))*(((3*2.4)/pi)^2))/2.

FAQ

What is Area of Reuleaux Triangle given arc length?
The Area of Reuleaux Triangle given arc length formula is defined as measure of the total area that the surface of the object occupies of a reuleaux triangle , where area = area of reuleaux triangle and is represented as A = ((pi-sqrt(3))*(((3*s)/pi)^2))/2 or area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2. Arc length is the distance between two points along a section of a curve.
How to calculate Area of Reuleaux Triangle given arc length?
The Area of Reuleaux Triangle given arc length formula is defined as measure of the total area that the surface of the object occupies of a reuleaux triangle , where area = area of reuleaux triangle is calculated using area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2. To calculate Area of Reuleaux Triangle given arc length, you need Arc Length (s). With our tool, you need to enter the respective value for Arc Length 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?
In this formula, Area uses Arc Length. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • area = (pi-sqrt(3))*(Radius^2)/2
  • area = ((pi-sqrt(3))*(((3*Arc Length)/pi)^2))/2
  • area = ((pi-sqrt(3))*((Perimeter/pi)^2))/2
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