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Central Angle of Annulus Sector given Perimeter 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{P Sector - (2 \cdot (r Outer - r Inner))}{r Outer + r Inner}

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

Central Angle of Annulus Sector given Perimeter Example

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

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

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

42.9718 = \frac{20 - (2 \cdot (10 - 6))}{10 + 6}

42.9718° = \frac{20m - (2 \cdot (10m - 6m))}{10m + 6m}

42.9718 = \frac{20 - (2 \cdot (10 - 6))}{10 + 6}

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Central Angle of Annulus Sector given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Central(Sector) = \frac{20m - (2 \cdot (10m - 6m))}{10m + 6m}

Next Step Prepare to Evaluate

∴

∠ Central(Sector) = \frac{20 - (2 \cdot (10 - 6))}{10 + 6}

Next Step Evaluate

∴

∠ Central(Sector) = 0.75rad

Next Step Convert to Output's Unit

∴

∠ Central(Sector) = 42.9718346348198°

LAST Step Rounding Answer

∴

∠ Central(Sector) = 42.9718°

Central Angle of Annulus Sector given Perimeter 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

Perimeter of Annulus Sector

Perimeter of Annulus Sector is the total distance around the edge of the Annulus Sector.

Symbol: P_Sector

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 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 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 Perimeter?

Central Angle of Annulus Sector given Perimeter evaluator uses 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) to evaluate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Perimeter 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 perimeter of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

How to evaluate Central Angle of Annulus Sector given Perimeter using this online evaluator? To use this online evaluator for Central Angle of Annulus Sector given Perimeter, enter Perimeter of Annulus Sector (P_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 Perimeter

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

The formula of Central Angle of Annulus Sector given Perimeter is expressed as 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). Here is an example- 2462.105 = (20-(2*(10-6)))/(10+6).

How to calculate Central Angle of Annulus Sector given Perimeter?

With Perimeter of Annulus Sector (P_Sector), Outer Circle Radius of Annulus (r_Outer) & Inner Circle Radius of Annulus (r_Inner) we can find Central Angle of Annulus Sector given Perimeter using the formula - 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).

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 Perimeter be negative?

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

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

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

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Central Angle of Annulus Sector given Perimeter 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 Perimeter Example

Central Angle of Annulus Sector given Perimeter Solution

Central Angle of Annulus Sector given Perimeter Formula Elements

Other Formulas to find Central Angle of Annulus Sector

How to Evaluate Central Angle of Annulus Sector given Perimeter?

FAQs on Central Angle of Annulus Sector given Perimeter

Variable Name

GoCentral Angle of Annulus Sector given Area Formula

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