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Area of double cycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 6*pi*Radius^2
A = 6*pi*r^2
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 6*pi*r^2 --> 6*pi*0.18^2
Evaluating ... ...
A = 0.610725611857856
STEP 3: Convert Result to Output's Unit
0.610725611857856 Square Meter --> No Conversion Required
FINAL ANSWER
0.610725611857856 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Base Surface Area of a Cone
base_surface_area = pi*Radius^2 Go
Top Surface Area of a Cylinder
top_surface_area = pi*Radius^2 Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of double cycloid Formula

area = 6*pi*Radius^2
A = 6*pi*r^2

What is a double 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), double cycloid is a cycloid mirrored at its straight side. The double cycloid looks like a mix of ellipse and pointed oval, but it has no vertices.

How to Calculate Area of double cycloid?

Area of double cycloid calculator uses area = 6*pi*Radius^2 to calculate the Area, The Area of double cycloid formula is defined as measure of the total area that the surface of the object occupies of a double cycloid, where a = radius of double cycloid, A = Area of double cycloid. Area and 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 (r) and hit the calculate button. Here is how the Area of double cycloid calculation can be explained with given input values -> 0.610726 = 6*pi*0.18^2.

FAQ

What is Area of double cycloid?
The Area of double cycloid formula is defined as measure of the total area that the surface of the object occupies of a double cycloid, where a = radius of double cycloid, A = Area of double cycloid and is represented as A = 6*pi*r^2 or area = 6*pi*Radius^2. Radius is a radial line from the focus to any point of a curve.
How to calculate Area of double cycloid?
The Area of double cycloid formula is defined as measure of the total area that the surface of the object occupies of a double cycloid, where a = radius of double cycloid, A = Area of double cycloid is calculated using area = 6*pi*Radius^2. To calculate Area of double cycloid, you need Radius (r). With our tool, you need to enter the respective value for Radius 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?
In this formula, Area uses Radius. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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