FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius Formula

GoCentral Angle of Annulus Sector given Area Formula

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

Fx Copy

LaTeX Copy

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 b)}{(2 \cdot r Inner) + b}

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

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius Example

With values

With units

Only example

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

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

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

42.9718 = \frac{20 - (2 \cdot 4)}{(2 \cdot 6) + 4}

42.9718° = \frac{20m - (2 \cdot 4m)}{(2 \cdot 6m) + 4m}

42.9718 = \frac{20 - (2 \cdot 4)}{(2 \cdot 6) + 4}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Central Angle of Annulus Sector given Perimeter and Inner Circle Radius

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Central(Sector) = \frac{20m - (2 \cdot 4m)}{(2 \cdot 6m) + 4m}

Next Step Prepare to Evaluate

∴

∠ Central(Sector) = \frac{20 - (2 \cdot 4)}{(2 \cdot 6) + 4}

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 and Inner 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

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

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

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 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 Perimeter and Inner Circle Radius?

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius evaluator uses Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Inner Circle Radius of Annulus)+Breadth of Annulus) to evaluate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Perimeter and Inner 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 perimeter, inner 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 Perimeter and Inner Circle Radius using this online evaluator? To use this online evaluator for Central Angle of Annulus Sector given Perimeter and Inner Circle Radius, enter Perimeter of Annulus Sector (P_Sector), Breadth of Annulus (b) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button.

FAQs on Central Angle of Annulus Sector given Perimeter and Inner Circle Radius

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

The formula of Central Angle of Annulus Sector given Perimeter and Inner Circle Radius is expressed as Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Inner Circle Radius of Annulus)+Breadth of Annulus). Here is an example- 2462.105 = (20-(2*4))/((2*6)+4).

How to calculate Central Angle of Annulus Sector given Perimeter and Inner Circle Radius?

With Perimeter of Annulus Sector (P_Sector), Breadth of Annulus (b) & Inner Circle Radius of Annulus (r_Inner) we can find Central Angle of Annulus Sector given Perimeter and Inner Circle Radius using the formula - Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Inner 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 Perimeter and Inner Circle Radius be negative?

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

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

Central Angle of Annulus Sector given Perimeter and Inner 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 Perimeter and Inner Circle Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Central Angle of Annulus Sector given Perimeter and Inner 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 Perimeter and Inner Circle Radius Example

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius Solution

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius Formula Elements

Other Formulas to find Central Angle of Annulus Sector

How to Evaluate Central Angle of Annulus Sector given Perimeter and Inner Circle Radius?

FAQs on Central Angle of Annulus Sector given Perimeter and Inner Circle Radius

Variable Name

GoCentral Angle of Annulus Sector given Area Formula

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