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Longest Interval of Circular Ring given Perimeter and Outer Radius Formula

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GoLongest Interval of Circular Ring given Area Formula

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

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

I_Longest - Longest Interval of Circular Ring?P - Perimeter of Circular Ring?r_Outer - Outer Radius of Circular Ring?π - Archimedes' constant?

Longest Interval of Circular Ring given Perimeter and Outer Radius Example

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Here is how the Longest Interval of Circular Ring given Perimeter and Outer Radius equation looks like with Values.

Here is how the Longest Interval of Circular Ring given Perimeter and Outer Radius equation looks like with Units.

Here is how the Longest Interval of Circular Ring given Perimeter and Outer Radius equation looks like.

16.1254 = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot ((2 \cdot 10) - \frac{100}{2 \cdot 3.1416})}

16.1254m = 2 \cdot \sqrt{\frac{100m}{2 \cdot 3.1416} \cdot ((2 \cdot 10m) - \frac{100m}{2 \cdot 3.1416})}

16.1254 = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot ((2 \cdot 10) - \frac{100}{2 \cdot 3.1416})}

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Longest Interval of Circular Ring given Perimeter and Outer Radius Solution

Follow our step by step solution on how to calculate Longest Interval of Circular Ring given Perimeter and Outer Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I Longest = 2 \cdot \sqrt{\frac{100m}{2 \cdot π} \cdot ((2 \cdot 10m) - \frac{100m}{2 \cdot π})}

Next Step Substitute values of Constants

∴

I Longest = 2 \cdot \sqrt{\frac{100m}{2 \cdot 3.1416} \cdot ((2 \cdot 10m) - \frac{100m}{2 \cdot 3.1416})}

Next Step Prepare to Evaluate

∴

I Longest = 2 \cdot \sqrt{\frac{100}{2 \cdot 3.1416} \cdot ((2 \cdot 10) - \frac{100}{2 \cdot 3.1416})}

Next Step Evaluate

∴

I Longest = 16.1253746719816m

LAST Step Rounding Answer

∴

I Longest = 16.1254m

Longest Interval of Circular Ring given Perimeter and Outer Radius Formula Elements

Variables

Constants

Functions

Longest Interval of Circular Ring

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

Symbol: I_Longest

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longest Interval of Circular Ring

Perimeter of Circular Ring

Perimeter of Circular Ring is the length of the ring around all the edges.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Circular Ring

Outer Radius of Circular Ring

The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Circular Ring

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 Circular Ring

Go Longest Interval of Circular Ring

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

Go Longest Interval of Circular Ring given Area

I Longest = 2 \cdot \sqrt{\frac{A}{π}}

Go Longest Interval of Circular Ring given Width and Inner Radius

I Longest = 2 \cdot \sqrt{w \cdot (w + 2 \cdot r Inner)}

Go Longest Interval of Circular Ring given Width and Outer Radius

I Longest = 2 \cdot \sqrt{w \cdot (2 \cdot r Outer - w)}

How to Evaluate Longest Interval of Circular Ring given Perimeter and Outer Radius?

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

How to evaluate Longest Interval of Circular Ring given Perimeter and Outer Radius using this online evaluator? To use this online evaluator for Longest Interval of Circular Ring given Perimeter and Outer Radius, enter Perimeter of Circular Ring (P) & Outer Radius of Circular Ring (r_Outer) and hit the calculate button.

FAQs on Longest Interval of Circular Ring given Perimeter and Outer Radius

What is the formula to find Longest Interval of Circular Ring given Perimeter and Outer Radius?

The formula of Longest Interval of Circular Ring given Perimeter and Outer Radius is expressed as Longest Interval of Circular Ring = 2*sqrt(Perimeter of Circular Ring/(2*pi)*((2*Outer Radius of Circular Ring)-Perimeter of Circular Ring/(2*pi))). Here is an example- 16.12537 = 2*sqrt(100/(2*pi)*((2*10)-100/(2*pi))).

How to calculate Longest Interval of Circular Ring given Perimeter and Outer Radius?

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

What are the other ways to Calculate Longest Interval of Circular Ring?

Here are the different ways to Calculate Longest Interval of Circular Ring-

Longest Interval of Circular Ring=2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2)
Longest Interval of Circular Ring=2*sqrt(Area of Circular Ring/pi)
Longest Interval of Circular Ring=2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))

Can the Longest Interval of Circular Ring given Perimeter and Outer Radius be negative?

No, the Longest Interval of Circular Ring given Perimeter and Outer Radius, measured in Length cannot be negative.

Which unit is used to measure Longest Interval of Circular Ring given Perimeter and Outer Radius?

Longest Interval of Circular Ring given Perimeter and Outer 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 Circular Ring given Perimeter and Outer Radius can be measured.

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Longest Interval of Circular Ring given Perimeter and Outer Radius Formula

​GoLongest Interval of Circular Ring Formula

​GoLongest Interval of Circular Ring given Area Formula

Longest Interval of Circular Ring given Perimeter and Outer Radius Example

Longest Interval of Circular Ring given Perimeter and Outer Radius Solution

Longest Interval of Circular Ring given Perimeter and Outer Radius Formula Elements

Other Formulas to find Longest Interval of Circular Ring

How to Evaluate Longest Interval of Circular Ring given Perimeter and Outer Radius?

FAQs on Longest Interval of Circular Ring given Perimeter and Outer Radius

Variable Name

GoLongest Interval of Circular Ring Formula

GoLongest Interval of Circular Ring given Area Formula