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Radius of Circle of Cycloid given Perimeter 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 = \frac{P}{8 + (2 \cdot π)}

r_Circle - Radius of Circle of Cycloid?P - Perimeter of Cycloid?π - Archimedes' constant?

Radius of Circle of Cycloid given Perimeter Example

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

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

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

4.9009 = \frac{70}{8 + (2 \cdot 3.1416)}

4.9009m = \frac{70m}{8 + (2 \cdot 3.1416)}

4.9009 = \frac{70}{8 + (2 \cdot 3.1416)}

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Radius of Circle of Cycloid given Perimeter Solution

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

FIRST Step Consider the formula

r Circle = \frac{P}{8 + (2 \cdot π)}

Next Step Substitute values of Variables

∴

r Circle = \frac{70m}{8 + (2 \cdot π)}

Next Step Substitute values of Constants

∴

r Circle = \frac{70m}{8 + (2 \cdot 3.1416)}

Next Step Prepare to Evaluate

∴

r Circle = \frac{70}{8 + (2 \cdot 3.1416)}

Next Step Evaluate

∴

r Circle = 4.90086759322613m

LAST Step Rounding Answer

∴

r Circle = 4.9009m

Radius of Circle of Cycloid given Perimeter Formula Elements

Variables

Constants

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

Perimeter of Cycloid

The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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 Area

r Circle = \sqrt{\frac{A}{3 \cdot π}}

How to Evaluate Radius of Circle of Cycloid given Perimeter?

Radius of Circle of Cycloid given Perimeter evaluator uses Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)) to evaluate the Radius of Circle of Cycloid, The Radius of Circle of Cycloid given Perimeter formula is defined as the straight line from the center to the circumference of a cycloid, calculated using its perimeter. Radius of Circle of Cycloid is denoted by r_Circle symbol.

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

FAQs on Radius of Circle of Cycloid given Perimeter

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

The formula of Radius of Circle of Cycloid given Perimeter is expressed as Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)). Here is an example- 4.900868 = 70/(8+(2*pi)).

How to calculate Radius of Circle of Cycloid given Perimeter?

With Perimeter of Cycloid (P) we can find Radius of Circle of Cycloid given Perimeter using the formula - Radius of Circle of Cycloid = Perimeter of Cycloid/(8+(2*pi)). This formula also uses Archimedes' constant .

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 Perimeter be negative?

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

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

Radius of Circle of Cycloid given Perimeter 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 Perimeter can be measured.

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