Radius of Circle of Cycloid given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi))
rCircle = sqrt(A/(3*pi))
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 Circle of Cycloid - (Measured in Meter) - Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.
Area of Cycloid - (Measured in Square Meter) - The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.
STEP 1: Convert Input(s) to Base Unit
Area of Cycloid: 235 Square Meter --> 235 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rCircle = sqrt(A/(3*pi)) --> sqrt(235/(3*pi))
Evaluating ... ...
rCircle = 4.99342311623302
STEP 3: Convert Result to Output's Unit
4.99342311623302 Meter --> No Conversion Required
FINAL ANSWER
4.99342311623302 4.993423 Meter <-- Radius of Circle of Cycloid
(Calculation completed in 00.004 seconds)

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Radius of Circle of Cycloid Calculators

Radius of Circle of Cycloid given Perimeter
​ LaTeX ​ Go Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi))
Radius of Circle of Cycloid given Base Length
​ LaTeX ​ Go Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)
Radius of Circle of Cycloid given Arc Length
​ LaTeX ​ Go Radius of Circle of Cycloid = Arc Length of Cycloid/8
Radius of Circle of Cycloid given Height
​ LaTeX ​ Go Radius of Circle of Cycloid = Height of Cycloid/2

Radius of Circle of Cycloid given Area Formula

​LaTeX ​Go
Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi))
rCircle = sqrt(A/(3*pi))

What is a Cycloid?

In geometry, a Cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve does not depend on the object's starting position (the tautochrone curve).

How to Calculate Radius of Circle of Cycloid given Area?

Radius of Circle of Cycloid given Area calculator uses Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)) to calculate the Radius of Circle of Cycloid, The Radius of Circle of Cycloid given Area formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using the area. Radius of Circle of Cycloid is denoted by rCircle symbol.

How to calculate Radius of Circle of Cycloid given Area using this online calculator? To use this online calculator for Radius of Circle of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button. Here is how the Radius of Circle of Cycloid given Area calculation can be explained with given input values -> 4.993423 = sqrt(235/(3*pi)).

FAQ

What is Radius of Circle of Cycloid given Area?
The Radius of Circle of Cycloid given Area formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using the area and is represented as rCircle = sqrt(A/(3*pi)) or Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)). The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.
How to calculate Radius of Circle of Cycloid given Area?
The Radius of Circle of Cycloid given Area formula is defined as the straight line from the center to the circumference of a Cycloid, calculated using the area is calculated using Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)). To calculate Radius of Circle of Cycloid given Area, you need Area of Cycloid (A). With our tool, you need to enter the respective value for Area of Cycloid 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 Circle of Cycloid?
In this formula, Radius of Circle of Cycloid uses Area of Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Radius of Circle of Cycloid = Arc Length of Cycloid/8
  • Radius of Circle of Cycloid = Base Length of Cycloid/(2*pi)
  • Radius of Circle of Cycloid = Height of Cycloid/2
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