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Central Angle of Annulus Sector given Area Formula

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

GoCentral Angle of Annulus Sector given Inner 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}{{r Outer}^{2} - {r Inner}^{2}}

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

Central Angle of Annulus Sector given Area Example

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

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

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

26.8574 = \frac{2 \cdot 15}{10^{2} - 6^{2}}

26.8574° = \frac{2 \cdot 15m²}{{10m}^{2} - {6m}^{2}}

26.8574 = \frac{2 \cdot 15}{10^{2} - 6^{2}}

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Central Angle of Annulus Sector given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Central(Sector) = \frac{2 \cdot 15m²}{{10m}^{2} - {6m}^{2}}

Next Step Prepare to Evaluate

∴

∠ Central(Sector) = \frac{2 \cdot 15}{10^{2} - 6^{2}}

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 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

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

Other Formulas to find Central Angle of Annulus Sector

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}

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

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

How to Evaluate Central Angle of Annulus Sector given Area?

Central Angle of Annulus Sector given Area evaluator uses Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2) to evaluate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Area 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 of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

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

FAQs on Central Angle of Annulus Sector given Area

What is the formula to find Central Angle of Annulus Sector given Area?

The formula of Central Angle of Annulus Sector given Area is expressed as Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2). Here is an example- 1538.815 = (2*15)/(10^2-6^2).

How to calculate Central Angle of Annulus Sector given Area?

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

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

Can the Central Angle of Annulus Sector given Area be negative?

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

Which unit is used to measure Central Angle of Annulus Sector given Area?

Central Angle of Annulus Sector given Area 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 can be measured.

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Central Angle of Annulus Sector given Area Formula

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

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

Central Angle of Annulus Sector given Area Example

Central Angle of Annulus Sector given Area Solution

Central Angle of Annulus Sector given Area Formula Elements

Other Formulas to find Central Angle of Annulus Sector

How to Evaluate Central Angle of Annulus Sector given Area?

FAQs on Central Angle of Annulus Sector given Area

Variable Name

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

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