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Central Angle of Annulus Sector given Inner Arc Length Formula

GoCentral Angle of Annulus Sector given Outer Arc Length 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{l Inner Arc(Sector)}{r Inner}

∠_{Central(Sector)} - Central Angle of Annulus Sector?l_{Inner Arc(Sector)} - Inner Arc Length of Annulus Sector?r_Inner - Inner Circle Radius of Annulus?

Central Angle of Annulus Sector given Inner Arc Length Example

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

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

Here is how the Central Angle of Annulus Sector given Inner Arc Length equation looks like.

28.6479 = \frac{3}{6}

28.6479° = \frac{3m}{6m}

28.6479 = \frac{3}{6}

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Central Angle of Annulus Sector given Inner Arc Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Central(Sector) = \frac{3m}{6m}

Next Step Prepare to Evaluate

∴

∠ Central(Sector) = \frac{3}{6}

Next Step Evaluate

∴

∠ Central(Sector) = 0.5rad

Next Step Convert to Output's Unit

∴

∠ Central(Sector) = 28.6478897565466°

LAST Step Rounding Answer

∴

∠ Central(Sector) = 28.6479°

Central Angle of Annulus Sector given Inner Arc Length 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

Inner Arc Length of Annulus Sector

Inner Arc Length of Annulus Sector is the distance between the two points along the inner curve of Annulus.

Symbol: l_{Inner Arc(Sector)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Arc Length of Annulus Sector

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

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

Other formulas in Central Angle of Annulus Sector category

Go Area of Annulus Sector

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

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)

Go Outer Arc Length of Annulus Sector

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

How to Evaluate Central Angle of Annulus Sector given Inner Arc Length?

Central Angle of Annulus Sector given Inner Arc Length evaluator uses Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus to evaluate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Inner Arc Length 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 inner arc length of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

How to evaluate Central Angle of Annulus Sector given Inner Arc Length using this online evaluator? To use this online evaluator for Central Angle of Annulus Sector given Inner Arc Length, enter Inner Arc Length of Annulus Sector (l_{Inner Arc(Sector)}) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button.

FAQs on Central Angle of Annulus Sector given Inner Arc Length

What is the formula to find Central Angle of Annulus Sector given Inner Arc Length?

The formula of Central Angle of Annulus Sector given Inner Arc Length is expressed as Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus. Here is an example- 1641.403 = 3/6.

How to calculate Central Angle of Annulus Sector given Inner Arc Length?

With Inner Arc Length of Annulus Sector (l_{Inner Arc(Sector)}) & Inner Circle Radius of Annulus (r_Inner) we can find Central Angle of Annulus Sector given Inner Arc Length using the formula - Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius 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=Outer Arc Length of Annulus Sector/Outer Circle Radius of Annulus

Can the Central Angle of Annulus Sector given Inner Arc Length be negative?

No, the Central Angle of Annulus Sector given Inner Arc Length, measured in Angle cannot be negative.

Which unit is used to measure Central Angle of Annulus Sector given Inner Arc Length?

Central Angle of Annulus Sector given Inner Arc Length is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Central Angle of Annulus Sector given Inner Arc Length can be measured.

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