Area of Annulus Sector 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%

✖Area of Annulus Sector is the total region covered between the outer and the inner circle of the Annulus Sector.ⓘ Area of Annulus Sector [A_Sector]

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Area of Annulus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2
A_Sector = (r_Outer^2-r_Inner^2)*∠_{Central(Sector)}/2
This formula uses 4 Variables

Variables Used

Area of Annulus Sector - (Measured in Square Meter) - Area of Annulus Sector is the total region covered between the outer and the inner circle 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

A_Sector = (r_Outer^2-r_Inner^2)*∠_{Central(Sector)}/2 --> (10^2-6^2)*0.5235987755982/2

Evaluating ... ...

A_Sector = 16.7551608191424

STEP 3: Convert Result to Output's Unit

16.7551608191424 Square Meter --> No Conversion Required

FINAL ANSWER

16.7551608191424 ≈ 16.75516 Square Meter <-- Area of Annulus Sector

(Calculation completed in 00.006 seconds)

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< Area of Annulus Sector Calculators

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

LaTeX Go Area of Annulus Sector = Breadth of Annulus*(2*Outer Circle Radius of Annulus-Breadth of Annulus)*Central Angle of Annulus Sector/2

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

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

Area of Annulus Sector

LaTeX Go Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2

< Annulus Sector Calculators

Diagonal of Annulus Sector

LaTeX Go Diagonal of Annulus Sector = sqrt(Outer Circle Radius of Annulus^2+Inner Circle Radius of Annulus^2-2*Outer Circle Radius of Annulus*Inner Circle Radius of Annulus*cos(Central Angle of Annulus Sector))

Area of Annulus Sector

LaTeX Go Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2

Central Angle of Annulus Sector given Inner Arc Length

LaTeX Go Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus

Central Angle of Annulus Sector given Outer Arc Length

LaTeX Go Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/Outer Circle Radius of Annulus

Area of Annulus Sector Formula

LaTeX Go

Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2
A_Sector = (r_Outer^2-r_Inner^2)*∠_{Central(Sector)}/2

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 Area of Annulus Sector?

Area of Annulus Sector calculator uses Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2 to calculate the Area of Annulus Sector, The Area of Annulus Sector formula is defined as the total region covered between the outer and the inner circle of the Annulus Sector. Area of Annulus Sector is denoted by A_Sector symbol.

How to calculate Area of Annulus Sector using this online calculator? To use this online calculator for Area of Annulus Sector, 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 Area of Annulus Sector calculation can be explained with given input values -> 16.75516 = (10^2-6^2)*0.5235987755982/2.

FAQ

What is Area of Annulus Sector?

The Area of Annulus Sector formula is defined as the total region covered between the outer and the inner circle of the Annulus Sector and is represented as A_Sector = (r_Outer^2-r_Inner^2)*∠_{Central(Sector)}/2 or Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2. 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 Area of Annulus Sector?

The Area of Annulus Sector formula is defined as the total region covered between the outer and the inner circle of the Annulus Sector is calculated using Area of Annulus Sector = (Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)*Central Angle of Annulus Sector/2. To calculate Area of Annulus Sector, 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 Area of Annulus Sector?

In this formula, Area of Annulus Sector uses Outer Circle Radius of Annulus, Inner Circle Radius of Annulus & Central Angle of Annulus Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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