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Central Angle of Annulus Sector given Area and Outer Circle Radius Formula

GoCentral Angle of Annulus Sector given Area Formula

GoCentral Angle of Annulus Sector given Outer Arc Length and Breadth Formula

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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. Check FAQs

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

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

Central Angle of Annulus Sector given Area and Outer Circle Radius Example

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

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

26.8574 = \frac{2 \cdot 15}{4 \cdot ((2 \cdot 10) - 4)}

26.8574° = \frac{2 \cdot 15m²}{4m \cdot ((2 \cdot 10m) - 4m)}

26.8574 = \frac{2 \cdot 15}{4 \cdot ((2 \cdot 10) - 4)}

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Central Angle of Annulus Sector given Area and Outer Circle Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Central(Sector) = \frac{2 \cdot 15m²}{4m \cdot ((2 \cdot 10m) - 4m)}

Next Step Prepare to Evaluate

∴

∠ Central(Sector) = \frac{2 \cdot 15}{4 \cdot ((2 \cdot 10) - 4)}

Next Step Evaluate

∴

∠ Central(Sector) = 0.46875rad

Next Step Convert to Output's Unit

∴

∠ Central(Sector) = 26.8573966467624°

LAST Step Rounding Answer

∴

∠ Central(Sector) = 26.8574°

Central Angle of Annulus Sector given Area and Outer Circle Radius Formula Elements

Variables

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

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

Other Formulas to find Central Angle of Annulus Sector

Go Central Angle of Annulus Sector given Area

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

Go Central Angle of Annulus Sector given Outer Arc Length and Breadth

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

Go Central Angle of Annulus Sector given Inner Arc Length and Breadth

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

Go Central Angle of Annulus Sector given Perimeter

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

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

Central Angle of Annulus Sector given Area and Outer Circle Radius evaluator uses Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Outer Circle Radius of Annulus)-Breadth of Annulus)) to evaluate the Central Angle of Annulus Sector, Central Angle of Annulus Sector given Area and Outer Circle Radius formula is defined as 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, calculated using area, outer circle radius and breadth of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

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

FAQs on Central Angle of Annulus Sector given Area and Outer Circle Radius

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

The formula of Central Angle of Annulus Sector given Area and Outer Circle Radius is expressed as Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Outer Circle Radius of Annulus)-Breadth of Annulus)). Here is an example- 1538.815 = (2*15)/(4*((2*10)-4)).

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

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

What are the other ways to Calculate Central Angle of Annulus Sector?

Here are the different ways to Calculate Central Angle of Annulus Sector-

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=Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus)
Central Angle of Annulus Sector=Inner Arc Length of Annulus Sector/(Outer Circle Radius of Annulus-Breadth of Annulus)

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

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

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

Central Angle of Annulus Sector given Area and Outer Circle Radius is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Central Angle of Annulus Sector given Area and Outer Circle Radius can be measured.

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Central Angle of Annulus Sector given Area and Outer Circle Radius Formula

​GoCentral Angle of Annulus Sector given Area Formula

​GoCentral Angle of Annulus Sector given Outer Arc Length and Breadth Formula

Central Angle of Annulus Sector given Area and Outer Circle Radius Example

Central Angle of Annulus Sector given Area and Outer Circle Radius Solution

Central Angle of Annulus Sector given Area and Outer Circle Radius Formula Elements

Other Formulas to find Central Angle of Annulus Sector

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

FAQs on Central Angle of Annulus Sector given Area and Outer Circle Radius

Variable Name

GoCentral Angle of Annulus Sector given Area Formula

GoCentral Angle of Annulus Sector given Outer Arc Length and Breadth Formula