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Area of Annulus given Perimeter and Outer Circle Radius Formula

GoArea of Annulus Formula

GoArea of Annulus given Longest Interval Formula

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Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles. Check FAQs

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

A - Area of Annulus?P - Perimeter of Annulus?r_Outer - Outer Circle Radius of Annulus?π - Archimedes' constant?

Area of Annulus given Perimeter and Outer Circle Radius Example

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

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

Here is how the Area of Annulus given Perimeter and Outer Circle 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 Annulus given Perimeter and Outer Circle Radius Solution

Follow our step by step solution on how to calculate Area of Annulus given Perimeter and Outer Circle 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 Annulus given Perimeter and Outer Circle Radius Formula Elements

Variables

Constants

Area of Annulus

Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Annulus

Perimeter of Annulus

Perimeter of Annulus is defined as the total distance around the edge of the Annulus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Annulus

Outer Circle Radius of Annulus

Outer Circle Radius of Annulus 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 Circle Radius of Annulus

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 Annulus

Go Area of Annulus

A = π \cdot ({r Outer}^{2} - {r Inner}^{2})

Go Area of Annulus given Longest Interval

A = \frac{π}{4} \cdot l^{2}

Go Area of Annulus given Breadth and Inner Circle Radius

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

Go Area of Annulus given Breadth and Outer Circle Radius

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

How to Evaluate Area of Annulus given Perimeter and Outer Circle Radius?

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

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

FAQs on Area of Annulus given Perimeter and Outer Circle Radius

What is the formula to find Area of Annulus given Perimeter and Outer Circle Radius?

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

How to calculate Area of Annulus given Perimeter and Outer Circle Radius?

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

What are the other ways to Calculate Area of Annulus?

Here are the different ways to Calculate Area of Annulus-

Area of Annulus=pi*(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)
Area of Annulus=pi/4*Longest Interval of Annulus^2
Area of Annulus=pi*Breadth of Annulus*(Breadth of Annulus+2*Inner Circle Radius of Annulus)

Can the Area of Annulus given Perimeter and Outer Circle Radius be negative?

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

Which unit is used to measure Area of Annulus given Perimeter and Outer Circle Radius?

Area of Annulus given Perimeter and Outer Circle 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 Annulus given Perimeter and Outer Circle Radius can be measured.

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Area of Annulus given Perimeter and Outer Circle Radius Formula

​GoArea of Annulus Formula

​GoArea of Annulus given Longest Interval Formula

Area of Annulus given Perimeter and Outer Circle Radius Example

Area of Annulus given Perimeter and Outer Circle Radius Solution

Area of Annulus given Perimeter and Outer Circle Radius Formula Elements

Other Formulas to find Area of Annulus

How to Evaluate Area of Annulus given Perimeter and Outer Circle Radius?

FAQs on Area of Annulus given Perimeter and Outer Circle Radius

Variable Name

GoArea of Annulus Formula

GoArea of Annulus given Longest Interval Formula