Radius of Reuleaux Triangle given Area Calculator

✖The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.ⓘ Area of Reuleaux Triangle [A]

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✖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 Area [r]

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Radius of Reuleaux Triangle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3)))
r = sqrt((2*A)/(pi-sqrt(3)))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Reuleaux Triangle - (Measured in Square Meter) - The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.

STEP 1: Convert Input(s) to Base Unit

Area of Reuleaux Triangle: 70 Square Meter --> 70 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((2*A)/(pi-sqrt(3))) --> sqrt((2*70)/(pi-sqrt(3)))

Evaluating ... ...

r = 9.96609519171352

STEP 3: Convert Result to Output's Unit

9.96609519171352 Meter --> No Conversion Required

FINAL ANSWER

9.96609519171352 ≈ 9.966095 Meter <-- Radius of Reuleaux Triangle

(Calculation completed in 00.020 seconds)

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< Radius of Reuleaux Triangle Calculators

Radius of Reuleaux Triangle given Area

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

Radius of Reuleaux Triangle given Arc Length

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

Radius of Reuleaux Triangle given Perimeter

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

Radius of Reuleaux Triangle

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

Radius of Reuleaux Triangle given Area Formula

LaTeX Go

Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3)))
r = sqrt((2*A)/(pi-sqrt(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 Radius of Reuleaux Triangle given Area?

Radius of Reuleaux Triangle given Area calculator uses Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))) to calculate the Radius of Reuleaux Triangle, The Radius of Reuleaux Triangle given Area formula is defined as the straight line from the center to the circumference of the Reuleaux Triangle, calculated using its area. Radius of Reuleaux Triangle is denoted by r symbol.

How to calculate Radius of Reuleaux Triangle given Area using this online calculator? To use this online calculator for Radius of Reuleaux Triangle given Area, enter Area of Reuleaux Triangle (A) and hit the calculate button. Here is how the Radius of Reuleaux Triangle given Area calculation can be explained with given input values -> 9.966095 = sqrt((2*70)/(pi-sqrt(3))).

FAQ

What is Radius of Reuleaux Triangle given Area?

The Radius of Reuleaux Triangle given Area formula is defined as the straight line from the center to the circumference of the Reuleaux Triangle, calculated using its area and is represented as r = sqrt((2*A)/(pi-sqrt(3))) or Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))). The Area of Reuleaux Triangle is the amount of two-dimensional space taken up by the Reuleaux Triangle.

How to calculate Radius of Reuleaux Triangle given Area?

The Radius of Reuleaux Triangle given Area formula is defined as the straight line from the center to the circumference of the Reuleaux Triangle, calculated using its area is calculated using Radius of Reuleaux Triangle = sqrt((2*Area of Reuleaux Triangle)/(pi-sqrt(3))). To calculate Radius of Reuleaux Triangle given Area, you need Area of Reuleaux Triangle (A). With our tool, you need to enter the respective value for Area 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 Area of Reuleaux Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Reuleaux Triangle = (3*Arc Length of Reuleaux Triangle)/pi
Radius of Reuleaux Triangle = Perimeter of Reuleaux Triangle/pi
Radius of Reuleaux Triangle = Edge Length of Reuleaux Triangle/1

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