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Area of Reuleaux Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (pi-sqrt(3))*(Radius^2)/2
A = (pi-sqrt(3))*(r^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
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (pi-sqrt(3))*(r^2)/2 --> (pi-sqrt(3))*(10^2)/2
Evaluating ... ...
A = 70.4770923010458
STEP 3: Convert Result to Output's Unit
70.4770923010458 Square Meter --> No Conversion Required
FINAL ANSWER
70.4770923010458 Square Meter <-- Area
(Calculation completed in 00.015 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 Formula

area = (pi-sqrt(3))*(Radius^2)/2
A = (pi-sqrt(3))*(r^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?

Area of Reuleaux Triangle calculator uses area = (pi-sqrt(3))*(Radius^2)/2 to calculate the Area, The Area of Reuleaux Triangle 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 using this online calculator? To use this online calculator for Area of Reuleaux Triangle, enter Radius (r) and hit the calculate button. Here is how the Area of Reuleaux Triangle calculation can be explained with given input values -> 70.47709 = (pi-sqrt(3))*(10^2)/2.

FAQ

What is Area of Reuleaux Triangle?
The Area of Reuleaux Triangle 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))*(r^2)/2 or area = (pi-sqrt(3))*(Radius^2)/2. Radius is a radial line from the focus to any point of a curve.
How to calculate Area of Reuleaux Triangle?
The Area of Reuleaux Triangle 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))*(Radius^2)/2. To calculate Area of Reuleaux Triangle, you need Radius (r). With our tool, you need to enter the respective value for Radius 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 Radius. 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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