FormulaDen.com

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

Longest Interval of Circular Ring given Perimeter and Inner Radius Formula

GoLongest Interval of Circular Ring Formula

GoLongest Interval of Circular Ring given Area Formula

Fx Copy

LaTeX Copy

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

I_Longest - Longest Interval of Circular Ring?P - Perimeter of Circular Ring?r_Inner - Inner Radius of Circular Ring?π - Archimedes' constant?

Longest Interval of Circular Ring given Perimeter and Inner Radius Example

With values

With units

Only example

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

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

Here is how the Longest Interval of Circular Ring given Perimeter and Inner 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))}

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 Longest Interval of Circular Ring given Perimeter and Inner Radius

Longest Interval of Circular Ring given Perimeter and Inner Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

I Longest = 15.7882269296549m

LAST Step Rounding Answer

∴

I Longest = 15.7882m

Longest Interval of Circular Ring given Perimeter and Inner 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

Inner Radius of Circular Ring

The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner 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 Inner Radius?

Longest Interval of Circular Ring given Perimeter and Inner Radius evaluator uses Longest Interval of Circular Ring = 2*sqrt(Perimeter of Circular Ring/(2*pi)*(Perimeter of Circular Ring/(2*pi)-(2*Inner Radius of Circular Ring))) to evaluate the Longest Interval of Circular Ring, The Longest Interval of Circular Ring given Perimeter and Inner 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 inner 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 Inner Radius using this online evaluator? To use this online evaluator for Longest Interval of Circular Ring given Perimeter and Inner Radius, enter Perimeter of Circular Ring (P) & Inner Radius of Circular Ring (r_Inner) and hit the calculate button.

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

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

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

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

With Perimeter of Circular Ring (P) & Inner Radius of Circular Ring (r_Inner) we can find Longest Interval of Circular Ring given Perimeter and Inner Radius using the formula - Longest Interval of Circular Ring = 2*sqrt(Perimeter of Circular Ring/(2*pi)*(Perimeter of Circular Ring/(2*pi)-(2*Inner Radius of Circular Ring))). 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 Inner Radius be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Longest Interval of Circular Ring given Perimeter and Inner Radius Formula

​GoLongest Interval of Circular Ring Formula

​GoLongest Interval of Circular Ring given Area Formula

Longest Interval of Circular Ring given Perimeter and Inner Radius Example

Longest Interval of Circular Ring given Perimeter and Inner Radius Solution

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

Other Formulas to find Longest Interval of Circular Ring

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

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

Variable Name

GoLongest Interval of Circular Ring Formula

GoLongest Interval of Circular Ring given Area Formula