FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Arc Length of Cycloid given Perimeter Formula

GoArc Length of Cycloid Formula

GoArc Length of Cycloid given Base Length Formula

Fx Copy

LaTeX Copy

Arc Length of Cycloid is the distance between two points along a section of a curve. Check FAQs

l Arc = \frac{8 \cdot P}{8 + (2 \cdot π)}

l_Arc - Arc Length of Cycloid?P - Perimeter of Cycloid?π - Archimedes' constant?

Arc Length of Cycloid given Perimeter Example

With values

With units

Only example

Here is how the Arc Length of Cycloid given Perimeter equation looks like with Values.

Here is how the Arc Length of Cycloid given Perimeter equation looks like with Units.

Here is how the Arc Length of Cycloid given Perimeter equation looks like.

39.2069 = \frac{8 \cdot 70}{8 + (2 \cdot 3.1416)}

39.2069m = \frac{8 \cdot 70m}{8 + (2 \cdot 3.1416)}

39.2069 = \frac{8 \cdot 70}{8 + (2 \cdot 3.1416)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Arc Length of Cycloid given Perimeter

Arc Length of Cycloid given Perimeter Solution

Follow our step by step solution on how to calculate Arc Length of Cycloid given Perimeter?

FIRST Step Consider the formula

l Arc = \frac{8 \cdot P}{8 + (2 \cdot π)}

Next Step Substitute values of Variables

∴

l Arc = \frac{8 \cdot 70m}{8 + (2 \cdot π)}

Next Step Substitute values of Constants

∴

l Arc = \frac{8 \cdot 70m}{8 + (2 \cdot 3.1416)}

Next Step Prepare to Evaluate

∴

l Arc = \frac{8 \cdot 70}{8 + (2 \cdot 3.1416)}

Next Step Evaluate

∴

l Arc = 39.206940745809m

LAST Step Rounding Answer

∴

l Arc = 39.2069m

Arc Length of Cycloid given Perimeter Formula Elements

Variables

Constants

Arc Length of Cycloid

Arc Length of Cycloid is the distance between two points along a section of a curve.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Cycloid

Perimeter of Cycloid

The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Cycloid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Arc Length of Cycloid

Go Arc Length of Cycloid

l Arc = 8 \cdot r Circle

Go Arc Length of Cycloid given Base Length

l Arc = \frac{4 \cdot l Base}{π}

Go Arc Length of Cycloid given Height

l Arc = 4 \cdot h

Go Arc Length of Cycloid given Area

l Arc = 8 \cdot \sqrt{\frac{A}{3 \cdot π}}

How to Evaluate Arc Length of Cycloid given Perimeter?

Arc Length of Cycloid given Perimeter evaluator uses Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)) to evaluate the Arc Length of Cycloid, The Arc Length of Cycloid given Perimeter formula is defined as the distance between two points along a section of a curve, calculated using its perimeter. Arc Length of Cycloid is denoted by l_Arc symbol.

How to evaluate Arc Length of Cycloid given Perimeter using this online evaluator? To use this online evaluator for Arc Length of Cycloid given Perimeter, enter Perimeter of Cycloid (P) and hit the calculate button.

FAQs on Arc Length of Cycloid given Perimeter

What is the formula to find Arc Length of Cycloid given Perimeter?

The formula of Arc Length of Cycloid given Perimeter is expressed as Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)). Here is an example- 39.20694 = (8*70)/(8+(2*pi)).

How to calculate Arc Length of Cycloid given Perimeter?

With Perimeter of Cycloid (P) we can find Arc Length of Cycloid given Perimeter using the formula - Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Arc Length of Cycloid?

Here are the different ways to Calculate Arc Length of Cycloid-

Arc Length of Cycloid=8*Radius of Circle of Cycloid
Arc Length of Cycloid=(4*Base Length of Cycloid)/pi
Arc Length of Cycloid=4*Height of Cycloid

Can the Arc Length of Cycloid given Perimeter be negative?

No, the Arc Length of Cycloid given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Arc Length of Cycloid given Perimeter?

Arc Length of Cycloid given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Arc Length of Cycloid given Perimeter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit