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

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

Area of Annulus Sector Example

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Here is how the Area of Annulus Sector equation looks like with Values.

Here is how the Area of Annulus Sector equation looks like with Units.

Here is how the Area of Annulus Sector equation looks like.

16.7552 = (10^{2} - 6^{2}) \cdot \frac{30}{2}

16.7552m² = ({10m}^{2} - {6m}^{2}) \cdot \frac{30°}{2}

16.7552 = (10^{2} - 6^{2}) \cdot \frac{30}{2}

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Area of Annulus Sector Solution

Follow our step by step solution on how to calculate Area of Annulus Sector?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Sector = ({10m}^{2} - {6m}^{2}) \cdot \frac{30°}{2}

Next Step Convert Units

∴

A Sector = ({10m}^{2} - {6m}^{2}) \cdot \frac{0.5236rad}{2}

Next Step Prepare to Evaluate

∴

A Sector = (10^{2} - 6^{2}) \cdot \frac{0.5236}{2}

Next Step Evaluate

∴

A Sector = 16.7551608191424m²

LAST Step Rounding Answer

∴

A Sector = 16.7552m²

Area of Annulus Sector 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

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

Inner Circle Radius of Annulus

Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner 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 in Area of Annulus Sector category

Go Central Angle of Annulus Sector given Inner Arc Length

∠ Central(Sector) = \frac{l Inner Arc(Sector)}{r Inner}

Go Central Angle of Annulus Sector given Outer Arc Length

∠ Central(Sector) = \frac{l Outer Arc(Sector)}{r Outer}

Go Diagonal of Annulus Sector

d Sector = \sqrt{{r Outer}^{2} + {r Inner}^{2} - 2 \cdot r Outer \cdot r Inner \cdot \cos (∠ Central(Sector))}

Go Inner Arc Length of Annulus Sector

l Inner Arc(Sector) = r Inner \cdot ∠ Central(Sector)

How to Evaluate Area of Annulus Sector?

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

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

FAQs on Area of Annulus Sector

What is the formula to find Area of Annulus Sector?

The formula of Area of Annulus Sector is expressed as Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2. Here is an example- 16.75516 = (10^2-6^2)*0.5235987755982/2.

How to calculate Area of Annulus Sector?

With Outer Circle Radius of Annulus (r_Outer), Inner Circle Radius of Annulus (r_Inner) & Central Angle of Annulus Sector (∠_{Central(Sector)}) we can find Area of Annulus Sector using the formula - 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 be negative?

No, the Area of Annulus Sector, measured in Area cannot be negative.

Which unit is used to measure Area of Annulus Sector?

Area of Annulus Sector 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 can be measured.

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Area of Annulus Sector Formula

Area of Annulus Sector Example

Area of Annulus Sector Solution

Area of Annulus Sector Formula Elements

Other formulas in Area of Annulus Sector category

How to Evaluate Area of Annulus Sector?

FAQs on Area of Annulus Sector

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