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Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Formula

GoArea of Annulus Sector given Inner Circle Radius and Breadth of Annulus Formula

GoArea of Annulus Sector Formula

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Area of Annulus Sector is the total region covered between the outer and the inner circle of the Annulus Sector. Check FAQs

A Sector = b \cdot (2 \cdot r Outer - b) \cdot \frac{∠ Central(Sector)}{2}

A_Sector - Area of Annulus Sector?b - Breadth of Annulus?r_Outer - Outer Circle Radius of Annulus?∠_{Central(Sector)} - Central Angle of Annulus Sector?

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Example

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

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

Here is how the Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus equation looks like.

16.7552 = 4 \cdot (2 \cdot 10 - 4) \cdot \frac{30}{2}

16.7552m² = 4m \cdot (2 \cdot 10m - 4m) \cdot \frac{30°}{2}

16.7552 = 4 \cdot (2 \cdot 10 - 4) \cdot \frac{30}{2}

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Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Solution

Follow our step by step solution on how to calculate Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus?

FIRST Step Consider the formula

A Sector = b \cdot (2 \cdot r Outer - b) \cdot \frac{∠ Central(Sector)}{2}

Next Step Substitute values of Variables

∴

A Sector = 4m \cdot (2 \cdot 10m - 4m) \cdot \frac{30°}{2}

Next Step Convert Units

∴

A Sector = 4m \cdot (2 \cdot 10m - 4m) \cdot \frac{0.5236rad}{2}

Next Step Prepare to Evaluate

∴

A Sector = 4 \cdot (2 \cdot 10 - 4) \cdot \frac{0.5236}{2}

Next Step Evaluate

∴

A Sector = 16.7551608191424m²

LAST Step Rounding Answer

∴

A Sector = 16.7552m²

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Formula Elements

Variables

Area of Annulus Sector

Area of Annulus Sector is the total region covered between the outer and the inner circle of the Annulus Sector.

Symbol: A_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Annulus Sector

Breadth of Annulus

Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth 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

Central Angle of Annulus Sector

Central Angle of Annulus Sector is the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points.

Symbol: ∠_{Central(Sector)}

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle of Annulus Sector

Other Formulas to find Area of Annulus Sector

Go Area of Annulus Sector given Inner Circle Radius and Breadth of Annulus

A Sector = b \cdot (2 \cdot r Inner + b) \cdot \frac{∠ Central(Sector)}{2}

Go Area of Annulus Sector

A Sector = ({r Outer}^{2} - {r Inner}^{2}) \cdot \frac{∠ Central(Sector)}{2}

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

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus evaluator uses Area of Annulus Sector = Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)*Central Angle of Annulus Sector/2 to evaluate the Area of Annulus Sector, The Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus formula is defined as the total region covered between the outer and the inner circle of the Annulus, calculated using outer circle radius and breadth of Annulus. Area of Annulus Sector is denoted by A_Sector symbol.

How to evaluate Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus using this online evaluator? To use this online evaluator for Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus, enter Breadth of Annulus (b), Outer Circle Radius of Annulus (r_Outer) & Central Angle of Annulus Sector (∠_{Central(Sector)}) and hit the calculate button.

FAQs on Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus

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

The formula of Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus is expressed as Area of Annulus Sector = Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)*Central Angle of Annulus Sector/2. Here is an example- 16.75516 = 4*(2*10-4)*0.5235987755982/2.

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

With Breadth of Annulus (b), Outer Circle Radius of Annulus (r_Outer) & Central Angle of Annulus Sector (∠_{Central(Sector)}) we can find Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus using the formula - Area of Annulus Sector = Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)*Central Angle of Annulus Sector/2.

What are the other ways to Calculate Area of Annulus Sector?

Here are the different ways to Calculate Area of Annulus Sector-

Area of Annulus Sector=Breadth of Annulus*(2*Inner Circle Radius of Annulus+Breadth of Annulus)*Central Angle of Annulus Sector/2
Area of Annulus Sector=(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2

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

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

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

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

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Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Formula

​GoArea of Annulus Sector given Inner Circle Radius and Breadth of Annulus Formula

​GoArea of Annulus Sector Formula

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Example

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Solution

Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus Formula Elements

Other Formulas to find Area of Annulus Sector

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

FAQs on Area of Annulus Sector given Outer Circle Radius and Breadth of Annulus

Variable Name

GoArea of Annulus Sector given Inner Circle Radius and Breadth of Annulus Formula

GoArea of Annulus Sector Formula