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Base Length of Cycloid given Area 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 = 2 \cdot π \cdot \sqrt{\frac{A}{3 \cdot π}}

l_Base - Base Length of Cycloid?A - Area of Cycloid?π - Archimedes' constant?

Base Length of Cycloid given Area Example

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

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

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

31.3746 = 2 \cdot 3.1416 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

31.3746m = 2 \cdot 3.1416 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

31.3746 = 2 \cdot 3.1416 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

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Base Length of Cycloid given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Base = 2 \cdot π \cdot \sqrt{\frac{235m²}{3 \cdot π}}

Next Step Substitute values of Constants

∴

l Base = 2 \cdot 3.1416 \cdot \sqrt{\frac{235m²}{3 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

l Base = 2 \cdot 3.1416 \cdot \sqrt{\frac{235}{3 \cdot 3.1416}}

Next Step Evaluate

∴

l Base = 31.3746027564462m

LAST Step Rounding Answer

∴

l Base = 31.3746m

Base Length of Cycloid given Area Formula Elements

Variables

Constants

Functions

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

Area of Cycloid

The Area of Cycloid is the amount of two-dimensional space taken up by the Cycloid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Perimeter

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

How to Evaluate Base Length of Cycloid given Area?

Base Length of Cycloid given Area evaluator uses Base Length of Cycloid = 2*pi*sqrt(Area of Cycloid/(3*pi)) to evaluate the Base Length of Cycloid, The Base Length of Cycloid given Area formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its area. Base Length of Cycloid is denoted by l_Base symbol.

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

FAQs on Base Length of Cycloid given Area

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

The formula of Base Length of Cycloid given Area is expressed as Base Length of Cycloid = 2*pi*sqrt(Area of Cycloid/(3*pi)). Here is an example- 31.3746 = 2*pi*sqrt(235/(3*pi)).

How to calculate Base Length of Cycloid given Area?

With Area of Cycloid (A) we can find Base Length of Cycloid given Area using the formula - Base Length of Cycloid = 2*pi*sqrt(Area of Cycloid/(3*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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 Area be negative?

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

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

Base Length of Cycloid given Area 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 Area can be measured.

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