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Area of double cycloid given arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 6*pi*((Arc Length/8)^2)
A = 6*pi*((s/8)^2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 6*pi*((s/8)^2) --> 6*pi*((2.4/8)^2)
Evaluating ... ...
A = 1.69646003293849
STEP 3: Convert Result to Output's Unit
1.69646003293849 Square Meter --> No Conversion Required
FINAL ANSWER
1.69646003293849 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Arc Angle from Arc length and Radius
theta = (pi*Arc Length)/(radius of circle*180*pi/180) Go
Radius of Circle from Arc Angle and Arc Length
radius_of_circle = Arc Length/Subtended Angle in Radians Go
Sector angle from radius and Arc length
subtended_angle_in_radians = Arc Length/radius of circle Go
Sector Area from Arc length and Radius
area_of_sector = (Arc Length*radius of circle)/2 Go
Relation in voltage and arc length
voltage = Constant Of The DC Machine*Arc Length Go
Perimeter Of Sector
perimeter_of_sector = Arc Length+2*Radius Go
Arc measure
arc_measure = Arc Length/Radius Go
Area of a Sector
area = (Radius*Arc Length)/2 Go
Radius of semicircle given arc
radius = Arc Length/pi Go
Angle inscribed by given arc
inscribed_angle = Arc Length/2 Go
Central angle when measure of arc intercepted is given
central_angle = 1*Arc Length 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 given arc length Formula

area = 6*pi*((Arc Length/8)^2)
A = 6*pi*((s/8)^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 arc length?

Area of double cycloid given arc length calculator uses area = 6*pi*((Arc Length/8)^2) to calculate the Area, The Area of double cycloid given arc length 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 arc length using this online calculator? To use this online calculator for Area of double cycloid given arc length, enter Arc Length (s) and hit the calculate button. Here is how the Area of double cycloid given arc length calculation can be explained with given input values -> 1.69646 = 6*pi*((2.4/8)^2).

FAQ

What is Area of double cycloid given arc length?
The Area of double cycloid given arc length 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*((s/8)^2) or area = 6*pi*((Arc Length/8)^2). Arc length is the distance between two points along a section of a curve.
How to calculate Area of double cycloid given arc length?
The Area of double cycloid given arc length 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*((Arc Length/8)^2). To calculate Area of double cycloid given arc length, you need Arc Length (s). With our tool, you need to enter the respective value for Arc Length 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 Arc Length. 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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