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Radius of Circle of Cycloid given Area Formula

GoRadius of Circle of Cycloid given Arc Length Formula

GoRadius of Circle of Cycloid given Base Length Formula

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Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid. Check FAQs

r Circle = \sqrt{\frac{A}{3 \cdot π}}

r_Circle - Radius of Circle of Cycloid?A - Area of Cycloid?π - Archimedes' constant?

Radius of Circle of Cycloid given Area Example

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Here is how the Radius of Circle of Cycloid given Area equation looks like with Values.

Here is how the Radius of Circle of Cycloid given Area equation looks like with Units.

Here is how the Radius of Circle of Cycloid given Area equation looks like.

4.9934 = \sqrt{\frac{235}{3 \cdot 3.1416}}

4.9934m = \sqrt{\frac{235m²}{3 \cdot 3.1416}}

4.9934 = \sqrt{\frac{235}{3 \cdot 3.1416}}

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Radius of Circle of Cycloid given Area Solution

Follow our step by step solution on how to calculate Radius of Circle of Cycloid given Area?

FIRST Step Consider the formula

r Circle = \sqrt{\frac{A}{3 \cdot π}}

Next Step Substitute values of Variables

∴

r Circle = \sqrt{\frac{235m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

r Circle = \sqrt{\frac{235m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

r Circle = \sqrt{\frac{235}{3 \cdot 3.1416}}

Next Step Evaluate

∴

r Circle = 4.99342311623302m

LAST Step Rounding Answer

∴

r Circle = 4.9934m

Radius of Circle of Cycloid given Area Formula Elements

Variables

Constants

Functions

Radius of Circle of Cycloid

Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

Symbol: r_Circle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circle of Cycloid

Area of Cycloid

The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Cycloid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Radius of Circle of Cycloid

Go Radius of Circle of Cycloid given Arc Length

r Circle = \frac{l Arc}{8}

Go Radius of Circle of Cycloid given Base Length

r Circle = \frac{l Base}{2 \cdot π}

Go Radius of Circle of Cycloid given Height

r Circle = \frac{h}{2}

Go Radius of Circle of Cycloid given Perimeter

r Circle = \frac{P}{8 + (2 \cdot π)}

How to Evaluate Radius of Circle of Cycloid given Area?

Radius of Circle of Cycloid given Area evaluator uses Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)) to evaluate 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 r_Circle symbol.

How to evaluate Radius of Circle of Cycloid given Area using this online evaluator? To use this online evaluator for Radius of Circle of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button.

FAQs on Radius of Circle of Cycloid given Area

What is the formula to find Radius of Circle of Cycloid given Area?

The formula of Radius of Circle of Cycloid given Area is expressed as Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)). Here is an example- 4.993423 = sqrt(235/(3*pi)).

How to calculate Radius of Circle of Cycloid given Area?

With Area of Cycloid (A) we can find Radius of Circle of Cycloid given Area using the formula - Radius of Circle of Cycloid = sqrt(Area of Cycloid/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Circle of Cycloid?

Here are the different ways to Calculate Radius of Circle of Cycloid-

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

Can the Radius of Circle of Cycloid given Area be negative?

No, the Radius of Circle of Cycloid given Area, measured in Length cannot be negative.

Which unit is used to measure Radius of Circle of Cycloid given Area?

Radius of Circle of Cycloid given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Circle of Cycloid given Area can be measured.

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