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Area of Circular Ring given Perimeter and Outer Radius Formula

GoArea of Circular Ring Formula

GoArea of Circular Ring given Width and Inner Radius Formula

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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. Check FAQs

A = (P \cdot r Outer) - \frac{P^{2}}{4 \cdot π}

A - Area of Circular Ring?P - Perimeter of Circular Ring?r_Outer - Outer Radius of Circular Ring?π - Archimedes' constant?

Area of Circular Ring given Perimeter and Outer Radius Example

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

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

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

204.2253 = (100 \cdot 10) - \frac{100^{2}}{4 \cdot 3.1416}

204.2253m² = (100m \cdot 10m) - \frac{{100m}^{2}}{4 \cdot 3.1416}

204.2253 = (100 \cdot 10) - \frac{100^{2}}{4 \cdot 3.1416}

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Area of Circular Ring given Perimeter and Outer Radius Solution

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

FIRST Step Consider the formula

A = (P \cdot r Outer) - \frac{P^{2}}{4 \cdot π}

Next Step Substitute values of Variables

∴

A = (100m \cdot 10m) - \frac{{100m}^{2}}{4 \cdot π}

Next Step Substitute values of Constants

∴

A = (100m \cdot 10m) - \frac{{100m}^{2}}{4 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

A = (100 \cdot 10) - \frac{100^{2}}{4 \cdot 3.1416}

Next Step Evaluate

∴

A = 204.225284540523m²

LAST Step Rounding Answer

∴

A = 204.2253m²

Area of Circular Ring given Perimeter and Outer Radius Formula Elements

Variables

Constants

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

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

Other Formulas to find Area of Circular Ring

Go Area of Circular Ring

A = π \cdot (r Outer + r Inner) \cdot (r Outer - r Inner)

Go Area of Circular Ring given Width and Inner Radius

A = π \cdot w \cdot (w + 2 \cdot r Inner)

Go Area of Circular Ring given Width and Outer Radius

A = π \cdot w \cdot (2 \cdot r Outer - w)

Go Area of Circular Ring given Longest Interval

A = \frac{π}{4} \cdot {I Longest}^{2}

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

Area of Circular Ring given Perimeter and Outer Radius evaluator uses Area of Circular Ring = (Perimeter of Circular Ring*Outer Radius of Circular Ring)-Perimeter of Circular Ring^2/(4*pi) to evaluate the Area of Circular Ring, The Area of Circular Ring given Perimeter and Outer Radius formula is defined as is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii and calculated using the perimeter and outer radius of a Circular Ring. Area of Circular Ring is denoted by A symbol.

How to evaluate Area of Circular Ring given Perimeter and Outer Radius using this online evaluator? To use this online evaluator for Area 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 Area of Circular Ring given Perimeter and Outer Radius

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

The formula of Area of Circular Ring given Perimeter and Outer Radius is expressed as Area of Circular Ring = (Perimeter of Circular Ring*Outer Radius of Circular Ring)-Perimeter of Circular Ring^2/(4*pi). Here is an example- 204.2253 = (100*10)-100^2/(4*pi).

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

With Perimeter of Circular Ring (P) & Outer Radius of Circular Ring (r_Outer) we can find Area of Circular Ring given Perimeter and Outer Radius using the formula - Area of Circular Ring = (Perimeter of Circular Ring*Outer Radius of Circular Ring)-Perimeter of Circular Ring^2/(4*pi). This formula also uses Archimedes' constant .

What are the other ways to Calculate Area of Circular Ring?

Here are the different ways to Calculate Area of Circular Ring-

Area of Circular Ring=pi*(Outer Radius of Circular Ring+Inner Radius of Circular Ring)*(Outer 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)
Area of Circular Ring=pi*Width of Circular Ring*(2*Outer Radius of Circular Ring-Width of Circular Ring)

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

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

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

Area of Circular Ring given Perimeter and Outer Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Circular Ring given Perimeter and Outer Radius can be measured.

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Area of Circular Ring given Perimeter and Outer Radius Formula

​GoArea of Circular Ring Formula

​GoArea of Circular Ring given Width and Inner Radius Formula

Area of Circular Ring given Perimeter and Outer Radius Example

Area of Circular Ring given Perimeter and Outer Radius Solution

Area of Circular Ring given Perimeter and Outer Radius Formula Elements

Other Formulas to find Area of Circular Ring

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

FAQs on Area of Circular Ring given Perimeter and Outer Radius

Variable Name

GoArea of Circular Ring Formula

GoArea of Circular Ring given Width and Inner Radius Formula