Radius of Reuleaux Triangle given Arc Length Calculator

✖The Radius of Reuleaux Triangle is a radial line from the focus to any point of a curve Reuleaux Triangle.ⓘ Radius of Reuleaux Triangle given Arc Length [r]

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Formula

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Radius of Reuleaux Triangle given Arc Length

Formula

`"r" = (3*"l"_{"Arc"})/pi`

Example

`"10.50423m"=(3*"11m")/pi`

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Radius of Reuleaux Triangle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi
r = (3*l_Arc)/pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Reuleaux Triangle: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (3*l_Arc)/pi --> (3*11)/pi

Evaluating ... ...

r = 10.5042262440651

STEP 3: Convert Result to Output's Unit

10.5042262440651 Meter --> No Conversion Required

FINAL ANSWER

10.5042262440651 ≈ 10.50423 Meter <-- Radius of Reuleaux Triangle

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< 4 Radius of Reuleaux Triangle Calculators

Radius of Reuleaux Triangle given Area

Go Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3)))

Radius of Reuleaux Triangle given Arc Length

Go Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi

Radius of Reuleaux Triangle given Perimeter

Go Radius of Reuleaux Triangle = Perimeter of Reuleaux Triangle/pi

Radius of Reuleaux Triangle

Go Radius of Reuleaux Triangle = Edge Length of Reuleaux Triangle/1

Radius of Reuleaux Triangle given Arc Length Formula

Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi
r = (3*l_Arc)/pi

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 Radius of Reuleaux Triangle given Arc Length?

Radius of Reuleaux Triangle given Arc Length calculator uses Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi to calculate the Radius of Reuleaux Triangle, The Radius of Reuleaux Triangle given Arc Length formula is defined as the straight line from the center to the circumference of the Reuleaux Triangle, calculated using its arc length. Radius of Reuleaux Triangle is denoted by r symbol.

How to calculate Radius of Reuleaux Triangle given Arc Length using this online calculator? To use this online calculator for Radius of Reuleaux Triangle given Arc Length, enter Arc Length of Reuleaux Triangle (l_Arc) and hit the calculate button. Here is how the Radius of Reuleaux Triangle given Arc Length calculation can be explained with given input values -> 10.50423 = (3*11)/pi.

FAQ

What is Radius of Reuleaux Triangle given Arc Length?

How to calculate Radius of Reuleaux Triangle given Arc Length?

The Radius of Reuleaux Triangle given Arc Length formula is defined as the straight line from the center to the circumference of the Reuleaux Triangle, calculated using its arc length is calculated using Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi. To calculate Radius of Reuleaux Triangle given Arc Length, you need Arc Length of Reuleaux Triangle (l_Arc). With our tool, you need to enter the respective value for Arc Length 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 Radius of Reuleaux Triangle?

In this formula, Radius of Reuleaux Triangle uses Arc Length of Reuleaux Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Reuleaux Triangle = Perimeter of Reuleaux Triangle/pi
Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3)))
Radius of Reuleaux Triangle = Edge Length of Reuleaux Triangle/1

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