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Longest Interval of Annulus given Perimeter and Inner Circle Radius Formula

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GoLongest Interval of Annulus given Area Formula

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Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle. Check FAQs

l = 2 \cdot \sqrt{\frac{P}{2 \cdot π} \cdot (\frac{P}{2 \cdot π} - (2 \cdot r Inner))}

l - Longest Interval of Annulus?P - Perimeter of Annulus?r_Inner - Inner Circle Radius of Annulus?π - Archimedes' constant?

Longest Interval of Annulus given Perimeter and Inner Circle Radius Example

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Here is how the Longest Interval of Annulus given Perimeter and Inner Circle Radius equation looks like with Units.

Here is how the Longest Interval of Annulus given Perimeter and Inner Circle Radius equation looks like.

15.7882 = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot (\frac{100}{2 \cdot 3.1416} - (2 \cdot 6))}

15.7882m = 2 \cdot \sqrt{\frac{100m}{2 \cdot 3.1416} \cdot (\frac{100m}{2 \cdot 3.1416} - (2 \cdot 6m))}

15.7882 = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot (\frac{100}{2 \cdot 3.1416} - (2 \cdot 6))}

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Longest Interval of Annulus given Perimeter and Inner Circle Radius Solution

Follow our step by step solution on how to calculate Longest Interval of Annulus given Perimeter and Inner Circle Radius?

FIRST Step Consider the formula

l = 2 \cdot \sqrt{\frac{P}{2 \cdot π} \cdot (\frac{P}{2 \cdot π} - (2 \cdot r Inner))}

Next Step Substitute values of Variables

∴

l = 2 \cdot \sqrt{\frac{100m}{2 \cdot π} \cdot (\frac{100m}{2 \cdot π} - (2 \cdot 6m))}

Next Step Substitute values of Constants

∴

l = 2 \cdot \sqrt{\frac{100m}{2 \cdot 3.1416} \cdot (\frac{100m}{2 \cdot 3.1416} - (2 \cdot 6m))}

Next Step Prepare to Evaluate

∴

l = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot (\frac{100}{2 \cdot 3.1416} - (2 \cdot 6))}

Next Step Evaluate

∴

l = 15.7882269296549m

LAST Step Rounding Answer

∴

l = 15.7882m

Longest Interval of Annulus given Perimeter and Inner Circle Radius Formula Elements

Variables

Constants

Functions

Longest Interval of Annulus

Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longest Interval of Annulus

Perimeter of Annulus

Perimeter of Annulus is defined as the total distance around the edge of the Annulus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Annulus

Inner Circle Radius of Annulus

Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Circle Radius of Annulus

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 Longest Interval of Annulus

Go Longest Interval of Annulus

l = 2 \cdot \sqrt{{r Outer}^{2} - {r Inner}^{2}}

Go Longest Interval of Annulus given Area

l = 2 \cdot \sqrt{\frac{A}{π}}

Go Longest Interval of Annulus given Perimeter and Outer Circle Radius

l = 2 \cdot \sqrt{\frac{P}{2 \cdot π} \cdot ((2 \cdot r Outer) - \frac{P}{2 \cdot π})}

Go Longest Interval of Annulus given Breadth and Inner Circle Radius

l = 2 \cdot \sqrt{b \cdot (b + 2 \cdot r Inner)}

How to Evaluate Longest Interval of Annulus given Perimeter and Inner Circle Radius?

Longest Interval of Annulus given Perimeter and Inner Circle Radius evaluator uses Longest Interval of Annulus = 2*sqrt(Perimeter of Annulus/(2*pi)*(Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus))) to evaluate the Longest Interval of Annulus, The Longest Interval of Annulus given Perimeter and Inner Circle Radius formula is defined as the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle, calculated using perimeter and inner circle radius. Longest Interval of Annulus is denoted by l symbol.

How to evaluate Longest Interval of Annulus given Perimeter and Inner Circle Radius using this online evaluator? To use this online evaluator for Longest Interval of Annulus given Perimeter and Inner Circle Radius, enter Perimeter of Annulus (P) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button.

FAQs on Longest Interval of Annulus given Perimeter and Inner Circle Radius

What is the formula to find Longest Interval of Annulus given Perimeter and Inner Circle Radius?

The formula of Longest Interval of Annulus given Perimeter and Inner Circle Radius is expressed as Longest Interval of Annulus = 2*sqrt(Perimeter of Annulus/(2*pi)*(Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus))). Here is an example- 15.78823 = 2*sqrt(100/(2*pi)*(100/(2*pi)-(2*6))).

How to calculate Longest Interval of Annulus given Perimeter and Inner Circle Radius?

With Perimeter of Annulus (P) & Inner Circle Radius of Annulus (r_Inner) we can find Longest Interval of Annulus given Perimeter and Inner Circle Radius using the formula - Longest Interval of Annulus = 2*sqrt(Perimeter of Annulus/(2*pi)*(Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Longest Interval of Annulus?

Here are the different ways to Calculate Longest Interval of Annulus-

Longest Interval of Annulus=2*sqrt(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)
Longest Interval of Annulus=2*sqrt(Area of Annulus/pi)
Longest Interval of Annulus=2*sqrt(Perimeter of Annulus/(2*pi)*((2*Outer Circle Radius of Annulus)-Perimeter of Annulus/(2*pi)))

Can the Longest Interval of Annulus given Perimeter and Inner Circle Radius be negative?

No, the Longest Interval of Annulus given Perimeter and Inner Circle Radius, measured in Length cannot be negative.

Which unit is used to measure Longest Interval of Annulus given Perimeter and Inner Circle Radius?

Longest Interval of Annulus given Perimeter and Inner Circle Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Longest Interval of Annulus given Perimeter and Inner Circle Radius can be measured.

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Longest Interval of Annulus given Perimeter and Inner Circle Radius Formula

​GoLongest Interval of Annulus Formula

​GoLongest Interval of Annulus given Area Formula

Longest Interval of Annulus given Perimeter and Inner Circle Radius Example

Longest Interval of Annulus given Perimeter and Inner Circle Radius Solution

Longest Interval of Annulus given Perimeter and Inner Circle Radius Formula Elements

Other Formulas to find Longest Interval of Annulus

How to Evaluate Longest Interval of Annulus given Perimeter and Inner Circle Radius?

FAQs on Longest Interval of Annulus given Perimeter and Inner Circle Radius

Variable Name

GoLongest Interval of Annulus Formula

GoLongest Interval of Annulus given Area Formula