Area of Double Cycloid Calculator

✖The Radius of Circle of Double Cycloid is a radial line from the focus of circle to any point of a curve.ⓘ Radius of Circle of Double Cycloid [r_Circle]

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✖Area of Double Cycloid is the amount of two-dimensional space taken up by the Double Cycloid.ⓘ Area of Double Cycloid [A]

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Formula

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Area of Double Cycloid

Formula

`"A" = 6*pi*"r"_{"Circle"}^2`

Example

`"75.39822m²"=6*pi*("2m")^2`

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Area of Double Cycloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2
A = 6*pi*r_Circle^2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area of Double Cycloid - (Measured in Square Meter) - Area of Double Cycloid is the amount of two-dimensional space taken up by the Double Cycloid.
Radius of Circle of Double Cycloid - (Measured in Meter) - The Radius of Circle of Double Cycloid is a radial line from the focus of circle to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Radius of Circle of Double Cycloid: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 6*pi*r_Circle^2 --> 6*pi*2^2

Evaluating ... ...

A = 75.398223686155

STEP 3: Convert Result to Output's Unit

75.398223686155 Square Meter --> No Conversion Required

FINAL ANSWER

75.398223686155 ≈ 75.39822 Square Meter <-- Area of Double Cycloid

(Calculation completed in 00.004 seconds)

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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

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< 5 Area of Double Cycloid Calculators

Area of Double Cycloid given Long Diameter

Go Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2

Area of Double Cycloid given Short Diameter

Go Area of Double Cycloid = 6*pi*(Short Diameter of Double Cycloid/4)^2

Area of Double Cycloid

Go Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2

Area of Double Cycloid given Arc Length

Go Area of Double Cycloid = 6*pi*(Arc Length of Double Cycloid/8)^2

Area of Double Cycloid given Perimeter

Go Area of Double Cycloid = 6*pi*(Perimeter of Double Cycloid/16)^2

Area of Double Cycloid Formula

Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2
A = 6*pi*r_Circle^2

What is a Double Cycloid?

A Double Cycloid is a cycloid mirrored at its straight side. It is a curve traced by a point on a circle as it rolls along a straight line without slipping. The double cycloid looks like a mix of the ellipse and pointed oval, but it has no vertices.

How to Calculate Area of Double Cycloid?

Area of Double Cycloid calculator uses Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2 to calculate the Area of Double Cycloid, The Area of Double Cycloid formula is defined as the measure of the total space or region that the surface of the object occupies of a Double Cycloid. Area of Double Cycloid is denoted by A symbol.

How to calculate Area of Double Cycloid using this online calculator? To use this online calculator for Area of Double Cycloid, enter Radius of Circle of Double Cycloid (r_Circle) and hit the calculate button. Here is how the Area of Double Cycloid calculation can be explained with given input values -> 75.39822 = 6*pi*2^2.

FAQ

What is Area of Double Cycloid?

The Area of Double Cycloid formula is defined as the measure of the total space or region that the surface of the object occupies of a Double Cycloid and is represented as A = 6*pi*r_Circle^2 or Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2. The Radius of Circle of Double Cycloid is a radial line from the focus of circle to any point of a curve.

How to calculate Area of Double Cycloid?

The Area of Double Cycloid formula is defined as the measure of the total space or region that the surface of the object occupies of a Double Cycloid is calculated using Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2. To calculate Area of Double Cycloid, you need Radius of Circle of Double Cycloid (r_Circle). With our tool, you need to enter the respective value for Radius of Circle of Double 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 Area of Double Cycloid?

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

Area of Double Cycloid = 6*pi*(Arc Length of Double Cycloid/8)^2
Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2
Area of Double Cycloid = 6*pi*(Short Diameter of Double Cycloid/4)^2
Area of Double Cycloid = 6*pi*(Perimeter of Double Cycloid/16)^2

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