Area of Double Cycloid given Long Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2
A = 6*pi*(DLong/(2*pi))^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.
Long Diameter of Double Cycloid - (Measured in Meter) - Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.
STEP 1: Convert Input(s) to Base Unit
Long Diameter of Double Cycloid: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 6*pi*(DLong/(2*pi))^2 --> 6*pi*(12/(2*pi))^2
Evaluating ... ...
A = 68.7549354156988
STEP 3: Convert Result to Output's Unit
68.7549354156988 Square Meter --> No Conversion Required
FINAL ANSWER
68.7549354156988 68.75494 Square Meter <-- Area of Double Cycloid
(Calculation completed in 00.004 seconds)

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Area of Double Cycloid Calculators

Area of Double Cycloid given Long Diameter
​ LaTeX ​ Go Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2
Area of Double Cycloid given Short Diameter
​ LaTeX ​ Go Area of Double Cycloid = 6*pi*(Short Diameter of Double Cycloid/4)^2
Area of Double Cycloid
​ LaTeX ​ Go Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2
Area of Double Cycloid given Arc Length
​ LaTeX ​ Go Area of Double Cycloid = 6*pi*(Arc Length of Double Cycloid/8)^2

Area of Double Cycloid given Long Diameter Formula

​LaTeX ​Go
Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2
A = 6*pi*(DLong/(2*pi))^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 given Long Diameter?

Area of Double Cycloid given Long Diameter calculator uses Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2 to calculate the Area of Double Cycloid, The Area of Double Cycloid given Long Diameter formula is defined as the measure of the total area that the surface of the object occupies of a Double Cycloid, calculated using long diameter. Area of Double Cycloid is denoted by A symbol.

How to calculate Area of Double Cycloid given Long Diameter using this online calculator? To use this online calculator for Area of Double Cycloid given Long Diameter, enter Long Diameter of Double Cycloid (DLong) and hit the calculate button. Here is how the Area of Double Cycloid given Long Diameter calculation can be explained with given input values -> 68.75494 = 6*pi*(12/(2*pi))^2.

FAQ

What is Area of Double Cycloid given Long Diameter?
The Area of Double Cycloid given Long Diameter formula is defined as the measure of the total area that the surface of the object occupies of a Double Cycloid, calculated using long diameter and is represented as A = 6*pi*(DLong/(2*pi))^2 or Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2. Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.
How to calculate Area of Double Cycloid given Long Diameter?
The Area of Double Cycloid given Long Diameter formula is defined as the measure of the total area that the surface of the object occupies of a Double Cycloid, calculated using long diameter is calculated using Area of Double Cycloid = 6*pi*(Long Diameter of Double Cycloid/(2*pi))^2. To calculate Area of Double Cycloid given Long Diameter, you need Long Diameter of Double Cycloid (DLong). With our tool, you need to enter the respective value for Long Diameter 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 Long Diameter of Double Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Double Cycloid = 6*pi*Radius of Circle of Double Cycloid^2
  • Area of Double Cycloid = 6*pi*(Arc Length of Double Cycloid/8)^2
  • Area of Double Cycloid = 6*pi*(Short Diameter of Double Cycloid/4)^2
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