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Arc length of double cycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = 8*Radius
s = 8*r
This formula uses 1 Variables
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
s = 8*r --> 8*0.18
Evaluating ... ...
s = 1.44
STEP 3: Convert Result to Output's Unit
1.44 Meter --> No Conversion Required
FINAL ANSWER
1.44 Meter <-- Arc Length
(Calculation completed in 00.000 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

Arc length of the circle when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Length of arc when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Arc Length
arc_length = 2*pi*Radius*(Angle A/360) Go
Length of arc when area of quadrant is given
arc_length = 2*pi*(Area/pi)^(0.5) Go
Length of arc when area and corresponding angle are given
arc_length = (Area/pi)*Angle A Go
Arc length from Radius and Arc Angle
arc_length = radius of circle*Subtended Angle in Radians Go
Length of arc when radius and corresponding angle are given
arc_length = Radius*Angle A Go
Arc of a semicircle
arc_length = pi*Radius Go
Length of arc intercepted by tangent chord angle
arc_length = 2*Inscribed Angle Go
Length of arc intercepted by inscribed angle
arc_length = 2*Inscribed Angle Go
Length of arc intercepted by central angle
arc_length = Central Angle Go

Arc length of double cycloid Formula

arc_length = 8*Radius
s = 8*r

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 Arc length of double cycloid?

Arc length of double cycloid calculator uses arc_length = 8*Radius to calculate the Arc Length, The Arc length of double cycloid formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid. Arc Length and is denoted by s symbol.

How to calculate Arc length of double cycloid using this online calculator? To use this online calculator for Arc length of double cycloid, enter Radius (r) and hit the calculate button. Here is how the Arc length of double cycloid calculation can be explained with given input values -> 1.44 = 8*0.18.

FAQ

What is Arc length of double cycloid?
The Arc length of double cycloid formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid and is represented as s = 8*r or arc_length = 8*Radius. Radius is a radial line from the focus to any point of a curve.
How to calculate Arc length of double cycloid?
The Arc length of double cycloid formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of double cycloid, a = radius of double cycloid is calculated using arc_length = 8*Radius. To calculate Arc length 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 Arc Length?
In this formula, Arc Length uses Radius. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • arc_length = 2*pi*Radius*(Angle A/360)
  • arc_length = (pi*Radius*Central Angle)/(180*pi/180)
  • arc_length = (pi*Radius*Central Angle)/(180*pi/180)
  • arc_length = radius of circle*Subtended Angle in Radians
  • arc_length = pi*Radius
  • arc_length = Central Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = Radius*Angle A
  • arc_length = 2*pi*(Area/pi)^(0.5)
  • arc_length = (Area/pi)*Angle A
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