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Arc length of double cycloid given long diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = 8*(Diameter/(2*pi))
s = 8*(d/(2*pi))
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
s = 8*(d/(2*pi)) --> 8*(10/(2*pi))
Evaluating ... ...
s = 12.7323954473516
STEP 3: Convert Result to Output's Unit
12.7323954473516 Meter --> No Conversion Required
FINAL ANSWER
12.7323954473516 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

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11 Other formulas that calculate the same Output

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Length of arc intercepted by central angle
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Arc length of double cycloid given long diameter Formula

arc_length = 8*(Diameter/(2*pi))
s = 8*(d/(2*pi))

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 given long diameter?

Arc length of double cycloid given long diameter calculator uses arc_length = 8*(Diameter/(2*pi)) to calculate the Arc Length, The Arc length of double cycloid given long diameter formula is defined as 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 given long diameter using this online calculator? To use this online calculator for Arc length of double cycloid given long diameter, enter Diameter (d) and hit the calculate button. Here is how the Arc length of double cycloid given long diameter calculation can be explained with given input values -> 12.7324 = 8*(10/(2*pi)).

FAQ

What is Arc length of double cycloid given long diameter?
The Arc length of double cycloid given long diameter formula is defined as 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*(d/(2*pi)) or arc_length = 8*(Diameter/(2*pi)). 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 Arc length of double cycloid given long diameter?
The Arc length of double cycloid given long diameter formula is defined as 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*(Diameter/(2*pi)). To calculate Arc length 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 Arc Length?
In this formula, Arc Length uses Diameter. 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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