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The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles. Check FAQs
rInner=(P2π)-((ILongest24)(P2π))2
rInner - Inner Radius of Circular Ring?P - Perimeter of Circular Ring?ILongest - Longest Interval of Circular Ring?π - Archimedes' constant?

Inner Radius of Circular Ring given Longest Interval and Perimeter Example

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

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

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

5.9471Edit=(100Edit23.1416)-((16Edit24)(100Edit23.1416))2
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Inner Radius of Circular Ring given Longest Interval and Perimeter Solution

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

FIRST Step Consider the formula
rInner=(P2π)-((ILongest24)(P2π))2
Next Step Substitute values of Variables
rInner=(100m2π)-((16m24)(100m2π))2
Next Step Substitute values of Constants
rInner=(100m23.1416)-((16m24)(100m23.1416))2
Next Step Prepare to Evaluate
rInner=(10023.1416)-((1624)(10023.1416))2
Next Step Evaluate
rInner=5.9471278562973m
LAST Step Rounding Answer
rInner=5.9471m

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

Variables
Constants
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: rInner
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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: ILongest
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Inner Radius of Circular Ring

​Go Inner Radius of Circular Ring given Area and Width
rInner=((Aπ)w)-w2
​Go Inner Radius of Circular Ring given Area and Perimeter
rInner=(P2π)-((Aπ)(P2π))2
​Go Inner Radius of Circular Ring given Longest Interval and Width
rInner=((ILongest24)w)-w2
​Go Inner Radius of Circular Ring given Outer Radius and Area
rInner=rOuter2-Aπ

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

Inner Radius of Circular Ring given Longest Interval and Perimeter evaluator uses Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2 to evaluate the Inner Radius of Circular Ring, The Inner Radius of Circular Ring given Longest Interval and Perimeter formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the longest interval and perimeter of Circular Ring. Inner Radius of Circular Ring is denoted by rInner symbol.

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

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

What is the formula to find Inner Radius of Circular Ring given Longest Interval and Perimeter?
The formula of Inner Radius of Circular Ring given Longest Interval and Perimeter is expressed as Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2. Here is an example- 5.947128 = ((100/(2*pi))-(((16^2/4))/((100/(2*pi)))))/2.
How to calculate Inner Radius of Circular Ring given Longest Interval and Perimeter?
With Perimeter of Circular Ring (P) & Longest Interval of Circular Ring (ILongest) we can find Inner Radius of Circular Ring given Longest Interval and Perimeter using the formula - Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2. This formula also uses Archimedes' constant .
What are the other ways to Calculate Inner Radius of Circular Ring?
Here are the different ways to Calculate Inner Radius of Circular Ring-
  • Inner Radius of Circular Ring=((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2OpenImg
  • Inner Radius of Circular Ring=((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2OpenImg
  • Inner Radius of Circular Ring=((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2OpenImg
Can the Inner Radius of Circular Ring given Longest Interval and Perimeter be negative?
No, the Inner Radius of Circular Ring given Longest Interval and Perimeter, measured in Length cannot be negative.
Which unit is used to measure Inner Radius of Circular Ring given Longest Interval and Perimeter?
Inner Radius of Circular Ring given Longest Interval and Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inner Radius of Circular Ring given Longest Interval and Perimeter can be measured.
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