🔍
🔍

## Credits

St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1000+ more calculators!

## 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
12.7323954473516 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Heat Loss due to Pipe
heat_loss_due_to_pipe = (Force*Length*Fluid Velocity^2)/(2*Diameter*Acceleration Due To Gravity) Go
Reynolds Number for Circular Tubes
reynolds_number = Density*Fluid Velocity*Diameter/Dynamic viscosity Go
Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known
diameter_sphere = sqrt(Diameter^2+Height^2) Go
Cutting Speed when Angular Speed is Given
cutting_speed = pi*Diameter*Angular Speed Go
Perimeter of a Semicircle when circumference of circle is given
perimeter = (Circumference of Circle/2)+Diameter Go
Area of a Circle when diameter is given
area_of_circle = (pi/4)*Diameter^2 Go
Perimeter of a quarter circle when diameter is given
perimeter = Diameter*((pi/4)+1) Go
Perimeter of a Semicircle when diameter is given
perimeter = Diameter*((pi/2)+1) Go
Area of a quarter circle when diameter is given
area = (pi*(Diameter)^2)/16 Go
Area of a Semicircle when diameter is given
area = (pi*(Diameter)^2)/8 Go
Radius of a circle when diameter is given

## < 11 Other formulas that calculate the same Output

Arc length of the circle when central angle and radius are given
Length of arc when central angle and radius are given
Arc Length
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
Length of arc when radius and corresponding angle are given
Arc of a semicircle
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 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 -