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Area of double cycloid given long diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 6*pi*((Diameter/(2*pi))^2)
A = 6*pi*((d/(2*pi))^2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diameter: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 6*pi*((d/(2*pi))^2) --> 6*pi*((10/(2*pi))^2)
Evaluating ... ...
A = 47.7464829275686
STEP 3: Convert Result to Output's Unit
47.7464829275686 Square Meter --> No Conversion Required
47.7464829275686 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

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Area of double cycloid given long diameter Formula

area = 6*pi*((Diameter/(2*pi))^2)
A = 6*pi*((d/(2*pi))^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 given long diameter?

Area of double cycloid given long diameter calculator uses area = 6*pi*((Diameter/(2*pi))^2) to calculate the Area, The Area of double cycloid given long diameter 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 given long diameter using this online calculator? To use this online calculator for Area of double cycloid given long diameter, enter Diameter (d) and hit the calculate button. Here is how the Area of double cycloid given long diameter calculation can be explained with given input values -> 47.74648 = 6*pi*((10/(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 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*((d/(2*pi))^2) or area = 6*pi*((Diameter/(2*pi))^2). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
How to calculate Area of double cycloid given long diameter?
The Area of double cycloid given long diameter 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*((Diameter/(2*pi))^2). To calculate Area of double cycloid given long diameter, you need Diameter (d). With our tool, you need to enter the respective value for Diameter 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 Diameter. 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