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Inner Radius of Circular Ring given Area and Perimeter Formula

GoInner Radius of Circular Ring given Area and Width Formula

GoInner Radius of Circular Ring given Longest Interval and Width Formula

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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

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

r_Inner - Inner Radius of Circular Ring?P - Perimeter of Circular Ring?A - Area of Circular Ring?π - Archimedes' constant?

Inner Radius of Circular Ring given Area and Perimeter Example

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

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

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

5.9577 = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{200}{3.1416})}{(\frac{100}{2 \cdot 3.1416})})}{2}

5.9577m = \frac{(\frac{100m}{2 \cdot 3.1416}) - (\frac{(\frac{200m²}{3.1416})}{(\frac{100m}{2 \cdot 3.1416})})}{2}

5.9577 = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{200}{3.1416})}{(\frac{100}{2 \cdot 3.1416})})}{2}

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Inner Radius of Circular Ring given Area and Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Inner = \frac{(\frac{100m}{2 \cdot π}) - (\frac{(\frac{200m²}{π})}{(\frac{100m}{2 \cdot π})})}{2}

Next Step Substitute values of Constants

∴

r Inner = \frac{(\frac{100m}{2 \cdot 3.1416}) - (\frac{(\frac{200m²}{3.1416})}{(\frac{100m}{2 \cdot 3.1416})})}{2}

Next Step Prepare to Evaluate

∴

r Inner = \frac{(\frac{100}{2 \cdot 3.1416}) - (\frac{(\frac{200}{3.1416})}{(\frac{100}{2 \cdot 3.1416})})}{2}

Next Step Evaluate

∴

r Inner = 5.95774715459477m

LAST Step Rounding Answer

∴

r Inner = 5.9577m

Inner Radius of Circular Ring given Area 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: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius 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

Area of Circular Ring

Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

Other Formulas to find Inner Radius of Circular Ring

Go Inner Radius of Circular Ring given Area and Width

r Inner = \frac{(\frac{(\frac{A}{π})}{w}) - w}{2}

Go Inner Radius of Circular Ring given Longest Interval and Width

r Inner = \frac{(\frac{(\frac{{I Longest}^{2}}{4})}{w}) - w}{2}

Go Inner Radius of Circular Ring given Longest Interval and Perimeter

r Inner = \frac{(\frac{P}{2 \cdot π}) - (\frac{(\frac{{I Longest}^{2}}{4})}{(\frac{P}{2 \cdot π})})}{2}

Go Inner Radius of Circular Ring given Outer Radius and Area

r Inner = \sqrt{{r Outer}^{2} - \frac{A}{π}}

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

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

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

FAQs on Inner Radius of Circular Ring given Area and Perimeter

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

The formula of Inner Radius of Circular Ring given Area and Perimeter is expressed as Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2. Here is an example- 5.957747 = ((100/(2*pi))-(((200/pi))/((100/(2*pi)))))/2.

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

With Perimeter of Circular Ring (P) & Area of Circular Ring (A) we can find Inner Radius of Circular Ring given Area and Perimeter using the formula - Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((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)/2
Inner Radius of Circular Ring=((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2
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

Can the Inner Radius of Circular Ring given Area and Perimeter be negative?

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

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

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

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Inner Radius of Circular Ring given Area and Perimeter Formula

​GoInner Radius of Circular Ring given Area and Width Formula

​GoInner Radius of Circular Ring given Longest Interval and Width Formula

Inner Radius of Circular Ring given Area and Perimeter Example

Inner Radius of Circular Ring given Area and Perimeter Solution

Inner Radius of Circular Ring given Area and Perimeter Formula Elements

Other Formulas to find Inner Radius of Circular Ring

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

FAQs on Inner Radius of Circular Ring given Area and Perimeter

Variable Name

GoInner Radius of Circular Ring given Area and Width Formula

GoInner Radius of Circular Ring given Longest Interval and Width Formula