Perimeter of Cycloid given Area Calculator

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

Perimeter of Cycloid - (Measured in Meter) - The Perimeter of Cycloid is the total distance around the edge of the 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

P = (8+(2*pi))*sqrt(A/(3*pi)) --> (8+(2*pi))*sqrt(235/(3*pi))

Evaluating ... ...

P = 71.3219876863104

STEP 3: Convert Result to Output's Unit

71.3219876863104 Meter --> No Conversion Required

FINAL ANSWER

71.3219876863104 ≈ 71.32199 Meter <-- Perimeter of Cycloid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Cycloid » Perimeter of Cycloid » Perimeter of Cycloid given Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 5 Perimeter of Cycloid Calculators

Perimeter of Cycloid given Area

Go Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi))

Perimeter of Cycloid given Base Length

Go Perimeter of Cycloid = (8+(2*pi))*Base Length of Cycloid/(2*pi)

Perimeter of Cycloid

Go Perimeter of Cycloid = (8+(2*pi))*Radius of Circle of Cycloid

Perimeter of Cycloid given Arc Length

Go Perimeter of Cycloid = (8+(2*pi))*Arc Length of Cycloid/8

Perimeter of Cycloid given Height

Go Perimeter of Cycloid = (8+(2*pi))*Height of Cycloid/2

Perimeter of Cycloid given Area Formula

Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi))
P = (8+(2*pi))*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 Perimeter of Cycloid given Area?

Perimeter of Cycloid given Area calculator uses Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi)) to calculate 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 calculate Perimeter of Cycloid given Area using this online calculator? To use this online calculator for Perimeter of Cycloid given Area, enter Area of Cycloid (A) and hit the calculate button. Here is how the Perimeter of Cycloid given Area calculation can be explained with given input values -> 71.32199 = (8+(2*pi))*sqrt(235/(3*pi)).

FAQ

What is Perimeter of Cycloid given Area?

The Perimeter of Cycloid given Area formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using area and is represented as P = (8+(2*pi))*sqrt(A/(3*pi)) or Perimeter of Cycloid = (8+(2*pi))*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 Perimeter of Cycloid given Area?

The Perimeter of Cycloid given Area formula is defined as the length of the outermost parts or boundary of a Cycloid, calculated using area is calculated using Perimeter of Cycloid = (8+(2*pi))*sqrt(Area of Cycloid/(3*pi)). To calculate Perimeter 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 Perimeter of Cycloid?

In this formula, Perimeter of Cycloid uses Area of Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search