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The Perimeter of Cycloid is the total distance around the edge of the Cycloid. Check FAQs
P=(8+(2π))A3π
P - Perimeter of Cycloid?A - Area of Cycloid?π - Archimedes' constant?

Perimeter of Cycloid given Area Example

With values
With units
Only example

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

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

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

71.322Edit=(8+(23.1416))235Edit33.1416
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Perimeter of Cycloid given Area Solution

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

FIRST Step Consider the formula
P=(8+(2π))A3π
Next Step Substitute values of Variables
P=(8+(2π))2353π
Next Step Substitute values of Constants
P=(8+(23.1416))23533.1416
Next Step Prepare to Evaluate
P=(8+(23.1416))23533.1416
Next Step Evaluate
P=71.3219876863104m
LAST Step Rounding Answer
P=71.322m

Perimeter of Cycloid given Area Formula Elements

Variables
Constants
Functions
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.
Area of Cycloid
The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
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 Perimeter of Cycloid

​Go Perimeter of Cycloid
P=(8+(2π))rCircle
​Go Perimeter of Cycloid given Arc Length
P=(8+(2π))lArc8
​Go Perimeter of Cycloid given Base Length
P=(8+(2π))lBase2π
​Go Perimeter of Cycloid given Height
P=(8+(2π))h2

How to Evaluate Perimeter of Cycloid given Area?

Perimeter of Cycloid given Area evaluator uses Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi)) to evaluate the Perimeter of Cycloid, The Perimeter of Cycloid given Area formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using area. Perimeter of Cycloid is denoted by P symbol.

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

FAQs on Perimeter of Cycloid given Area

What is the formula to find Perimeter of Cycloid given Area?
The formula of Perimeter of Cycloid given Area is expressed as Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi)). Here is an example- 71.32199 = (8+(2*pi))*sqrt(235/(3*pi)).
How to calculate Perimeter of Cycloid given Area?
With Area of Cycloid (A) we can find Perimeter of Cycloid given Area using the formula - Perimeter of Cycloid = (8+(2*pi))*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 Perimeter of Cycloid?
Here are the different ways to Calculate Perimeter of Cycloid-
  • Perimeter of Cycloid=(8+(2*pi))*Radius of Circle of CycloidOpenImg
  • Perimeter of Cycloid=(8+(2*pi))*Arc Length of Cycloid/8OpenImg
  • Perimeter of Cycloid=(8+(2*pi))*Base Length of Cycloid/(2*pi)OpenImg
Can the Perimeter of Cycloid given Area be negative?
No, the Perimeter of Cycloid given Area, measured in Length cannot be negative.
Which unit is used to measure Perimeter of Cycloid given Area?
Perimeter 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 Perimeter of Cycloid given Area can be measured.
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