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Base Length of Cycloid given Perimeter Formula

GoBase Length of Cycloid Formula

GoBase Length of Cycloid given Arc Length Formula

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The Base Length of Cycloid is the distance of the base points of the cycloid. Check FAQs

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

l_Base - Base Length of Cycloid?P - Perimeter of Cycloid?π - Archimedes' constant?

Base Length of Cycloid given Perimeter Example

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

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

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

30.7931 = \frac{2 \cdot 3.1416 \cdot 70}{8 + (2 \cdot 3.1416)}

30.7931m = \frac{2 \cdot 3.1416 \cdot 70m}{8 + (2 \cdot 3.1416)}

30.7931 = \frac{2 \cdot 3.1416 \cdot 70}{8 + (2 \cdot 3.1416)}

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Base Length of Cycloid given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l Base = 30.793059254191m

LAST Step Rounding Answer

∴

l Base = 30.7931m

Base Length of Cycloid given Perimeter Formula Elements

Variables

Constants

Base Length of Cycloid

The Base Length of Cycloid is the distance of the base points of the cycloid.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base 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 Base Length of Cycloid

Go Base Length of Cycloid

l Base = 2 \cdot π \cdot r Circle

Go Base Length of Cycloid given Arc Length

l Base = \frac{π}{4} \cdot l Arc

Go Base Length of Cycloid given Height

l Base = π \cdot h

Go Base Length of Cycloid given Area

l Base = 2 \cdot π \cdot \sqrt{\frac{A}{3 \cdot π}}

How to Evaluate Base Length of Cycloid given Perimeter?

Base Length of Cycloid given Perimeter evaluator uses Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi)) to evaluate the Base Length of Cycloid, The Base Length of Cycloid given Perimeter formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its perimeter. Base Length of Cycloid is denoted by l_Base symbol.

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

FAQs on Base Length of Cycloid given Perimeter

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

The formula of Base Length of Cycloid given Perimeter is expressed as Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi)). Here is an example- 30.79306 = (2*pi*70)/(8+(2*pi)).

How to calculate Base Length of Cycloid given Perimeter?

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

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

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

Base Length of Cycloid=2*pi*Radius of Circle of Cycloid
Base Length of Cycloid=pi/4*Arc Length of Cycloid
Base Length of Cycloid=pi*Height of Cycloid

Can the Base Length of Cycloid given Perimeter be negative?

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

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

Base 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 Base Length of Cycloid given Perimeter can be measured.

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