Perimeter of Annulus Sector given Inner and Outer Circle Radius Calculator

✖Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Circle Radius of Annulus [r_Outer]			+10% -10%
✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Inner Circle Radius of Annulus [r_Inner]			+10% -10%
✖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.ⓘ Central Angle of Annulus Sector [∠_{Central(Sector)}]			+10% -10%

✖Perimeter of Annulus Sector is the total distance around the edge of the Annulus Sector.ⓘ Perimeter of Annulus Sector given Inner and Outer Circle Radius [P_Sector]

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Formula

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Perimeter of Annulus Sector given Inner and Outer Circle Radius

Formula

`"P"_{"Sector"} = ("r"_{"Outer"}+"r"_{"Inner"})*"∠"_{"Central(Sector)"}+2*("r"_{"Outer"}-"r"_{"Inner"})`

Example

`"16.37758m"=("10m"+"6m")*"30°"+2*("10m"-"6m")`

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Perimeter of Annulus Sector given Inner and Outer Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Annulus Sector = (Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)*Central Angle of Annulus Sector+2*(Outer Circle Radius of Annulus-Inner Circle Radius of Annulus)
P_Sector = (r_Outer+r_Inner)*∠_{Central(Sector)}+2*(r_Outer-r_Inner)
This formula uses 4 Variables

Variables Used

Perimeter of Annulus Sector - (Measured in Meter) - Perimeter of Annulus Sector is the total distance around the edge of the Annulus Sector.
Outer Circle Radius of Annulus - (Measured in Meter) - Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Circle Radius of Annulus - (Measured in Meter) - Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.
Central Angle of Annulus Sector - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Outer Circle Radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required
Central Angle of Annulus Sector: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Sector = (r_Outer+r_Inner)*∠_{Central(Sector)}+2*(r_Outer-r_Inner) --> (10+6)*0.5235987755982+2*(10-6)

Evaluating ... ...

P_Sector = 16.3775804095712

STEP 3: Convert Result to Output's Unit

16.3775804095712 Meter --> No Conversion Required

FINAL ANSWER

16.3775804095712 ≈ 16.37758 Meter <-- Perimeter of Annulus Sector

(Calculation completed in 00.004 seconds)

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< 4 Perimeter of Annulus Sector Calculators

Perimeter of Annulus Sector given Inner and Outer Circle Radius

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

Perimeter of Annulus Sector given Inner Circle Radius and Breadth of Annulus

Go Perimeter of Annulus Sector = (2*Inner Circle Radius of Annulus+Breadth of Annulus)*Central Angle of Annulus Sector+2*Breadth of Annulus

Perimeter of Annulus Sector given Outer Circle Radius and Breadth of Annulus

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

Perimeter of Annulus Sector

Go Perimeter of Annulus Sector = Outer Arc Length of Annulus Sector+Inner Arc Length of Annulus Sector+(2*Breadth of Annulus)

Perimeter of Annulus Sector given Inner and Outer Circle Radius Formula

What is an Annulus Sector?

An Annulus Sector, also known as the circular ring sector, is a cut piece from an Annulus that is joined by two straight lines from its center.

What is Annulus?

In mathematics, an Annulus (plural Annuli or Annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse).The area of an Annulus is the difference in the areas of the larger circle of radius R and the smaller one of radius r

How to Calculate Perimeter of Annulus Sector given Inner and Outer Circle Radius?

Perimeter of Annulus Sector given Inner and Outer Circle Radius calculator uses Perimeter of Annulus Sector = (Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)*Central Angle of Annulus Sector+2*(Outer Circle Radius of Annulus-Inner Circle Radius of Annulus) to calculate the Perimeter of Annulus Sector, The Perimeter of Annulus Sector given Inner and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus Sector, calculated using inner and outer circle radius of Annulus. Perimeter of Annulus Sector is denoted by P_Sector symbol.

How to calculate Perimeter of Annulus Sector given Inner and Outer Circle Radius using this online calculator? To use this online calculator for Perimeter of Annulus Sector given Inner and Outer Circle Radius, enter Outer Circle Radius of Annulus (r_Outer), Inner Circle Radius of Annulus (r_Inner) & Central Angle of Annulus Sector (∠_{Central(Sector)}) and hit the calculate button. Here is how the Perimeter of Annulus Sector given Inner and Outer Circle Radius calculation can be explained with given input values -> 16.37758 = (10+6)*0.5235987755982+2*(10-6).

FAQ

What is Perimeter of Annulus Sector given Inner and Outer Circle Radius?

The Perimeter of Annulus Sector given Inner and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus Sector, calculated using inner and outer circle radius of Annulus and is represented as P_Sector = (r_Outer+r_Inner)*∠_{Central(Sector)}+2*(r_Outer-r_Inner) or Perimeter of Annulus Sector = (Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)*Central Angle of Annulus Sector+2*(Outer Circle Radius of Annulus-Inner 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, Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles & 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.

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

The Perimeter of Annulus Sector given Inner and Outer Circle Radius formula is defined as the total distance around the edge of the Annulus Sector, calculated using inner and outer circle radius of Annulus is calculated using Perimeter of Annulus Sector = (Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)*Central Angle of Annulus Sector+2*(Outer Circle Radius of Annulus-Inner Circle Radius of Annulus). To calculate Perimeter of Annulus Sector given Inner and Outer Circle Radius, you need Outer Circle Radius of Annulus (r_Outer), Inner Circle Radius of Annulus (r_Inner) & Central Angle of Annulus Sector (∠_{Central(Sector)}). With our tool, you need to enter the respective value for Outer Circle Radius of Annulus, Inner Circle Radius of Annulus & Central Angle of Annulus Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Annulus Sector?

In this formula, Perimeter of Annulus Sector uses Outer Circle Radius of Annulus, Inner Circle Radius of Annulus & Central Angle of Annulus Sector. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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