Outer arc length of Annuls Sector Calculator

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✖Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer radius [r_outer]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [ϑ]			+10% -10%

✖Outer arc length is the distance between the two points along the outer curve.ⓘ Outer arc length of Annuls Sector [L_{outer_arc}]

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Credits

Prachi

Kamala Nehru College, University of Delhi (KNC), New Delhi

Prachi has created this Calculator and 100+ more calculators!

Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

Outer arc length of Annuls Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi)
L_{outer_arc} = (2*r_outer*pi*ϑ)/(2*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Outer radius - Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary. (Measured in Meter)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)

STEP 1: Convert Input(s) to Base Unit

Outer radius: 10 Meter --> 10 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{outer_arc} = (2*r_outer*pi*ϑ)/(2*pi) --> (2*10*pi*0.5235987755982)/(2*pi)

Evaluating ... ...

L_{outer_arc} = 5.235987755982

STEP 3: Convert Result to Output's Unit

5.235987755982 Meter --> No Conversion Required

FINAL ANSWER

5.235987755982 Meter <-- Outer arc length

(Calculation completed in 00.015 seconds)

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< 10+ Annulus Sector Calculators

Diagonal of Annulus Sector

diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta)) Go

Inner arc length of Annulus Sector given outer circle radius and side length

inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi) Go

Outer arc length of Annuls Sector given inner circle radius and side length

outer_arc_length = (2*(Inner radius+Side length)*pi*Theta)/(2*pi) Go

Area of Annulus Sector

area = ((Outer radius^2-Inner radius^2)*pi*Theta)/(2*pi) Go

Inner arc length of Annulus Sector

inner_arc_length = (2*Inner radius*pi*Theta)/(2*pi) Go

Outer arc length of Annuls Sector

outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi) Go

Perimeter of Annulus Sector

perimeter = Outer arc length+Inner arc length+(2*Side length) Go

Radius of outer circle of Annulus Sector

outer_radius = Inner radius+Side length Go

Radius of inner circle of Annulus Sector

inner_radius = Outer radius-Side length Go

Side length of Annulus Sector

side_length = Outer radius-Inner radius Go

Outer arc length of Annuls Sector Formula

outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi)
L_{outer_arc} = (2*r_outer*pi*ϑ)/(2*pi)

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.

How to Calculate Outer arc length of Annuls Sector?

Outer arc length of Annuls Sector calculator uses outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi) to calculate the Outer arc length, The Outer arc length of Annuls Sector formula is defined as the distance between the two points along the outer curve of the Annulus Sector. Outer arc length is denoted by L_{outer_arc} symbol.

How to calculate Outer arc length of Annuls Sector using this online calculator? To use this online calculator for Outer arc length of Annuls Sector, enter Outer radius (r_outer) & Theta (ϑ) and hit the calculate button. Here is how the Outer arc length of Annuls Sector calculation can be explained with given input values -> 5.235988 = (2*10*pi*0.5235987755982)/(2*pi).

FAQ

What is Outer arc length of Annuls Sector?

The Outer arc length of Annuls Sector formula is defined as the distance between the two points along the outer curve of the Annulus Sector and is represented as L_{outer_arc} = (2*r_outer*pi*ϑ)/(2*pi) or outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi). Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Outer arc length of Annuls Sector?

The Outer arc length of Annuls Sector formula is defined as the distance between the two points along the outer curve of the Annulus Sector is calculated using outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi). To calculate Outer arc length of Annuls Sector, you need Outer radius (r_outer) & Theta (ϑ). With our tool, you need to enter the respective value for Outer radius & Theta 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 Outer arc length?

In this formula, Outer arc length uses Outer radius & Theta. We can use 10 other way(s) to calculate the same, which is/are as follows -

outer_radius = Inner radius+Side length
outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi)
inner_arc_length = (2*Inner radius*pi*Theta)/(2*pi)
diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta))
perimeter = Outer arc length+Inner arc length+(2*Side length)
area = ((Outer radius^2-Inner radius^2)*pi*Theta)/(2*pi)
inner_radius = Outer radius-Side length
side_length = Outer radius-Inner radius
outer_arc_length = (2*(Inner radius+Side length)*pi*Theta)/(2*pi)
inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi)

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