Angle of Circular Sector given Arc Length Calculator

✖Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector.ⓘ Arc Length of Circular Sector [l_Arc]			+10% -10%
✖Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.ⓘ Radius of Circular Sector [r]			+10% -10%

✖Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.ⓘ Angle of Circular Sector given Arc Length [∠_Sector]

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Angle of Circular Sector given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector
∠_Sector = l_Arc/r
This formula uses 3 Variables

Variables Used

Angle of Circular Sector - (Measured in Radian) - Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.
Arc Length of Circular Sector - (Measured in Meter) - Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector.
Radius of Circular Sector - (Measured in Meter) - Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Circular Sector: 4 Meter --> 4 Meter No Conversion Required
Radius of Circular Sector: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Sector = l_Arc/r --> 4/5

Evaluating ... ...

∠_Sector = 0.8

STEP 3: Convert Result to Output's Unit

0.8 Radian -->45.8366236104745 Degree (Check conversion here)

FINAL ANSWER

45.8366236104745 ≈ 45.83662 Degree <-- Angle of Circular Sector

(Calculation completed in 00.004 seconds)

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Created by Pramod Singh

Indian Institute of Technology (IIT), Guwahati

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Verified by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< Angle of Circular Sector Calculators

Angle of Circular Sector given Area of Circular Sector

LaTeX Go Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2)

Angle of Circular Sector given Arc Length

LaTeX Go Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector

Angle of Circular Sector given Arc Length Formula

LaTeX Go

Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector
∠_Sector = l_Arc/r

What is a Circular Sector?

Circular Sector is basically a portion of the area of a circle cut through two radii. Geometrically a Circular Sector is the region enclosed by a circular arc and corresponding radii at a particular central angle.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Angle of Circular Sector given Arc Length?

Angle of Circular Sector given Arc Length calculator uses Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector to calculate the Angle of Circular Sector, Angle of Circular Sector given Arc Length formula is defined as the angle formed by two radii of the Circular Sector, calculated using the arc length of the Circular Sector. Angle of Circular Sector is denoted by ∠_Sector symbol.

How to calculate Angle of Circular Sector given Arc Length using this online calculator? To use this online calculator for Angle of Circular Sector given Arc Length, enter Arc Length of Circular Sector (l_Arc) & Radius of Circular Sector (r) and hit the calculate button. Here is how the Angle of Circular Sector given Arc Length calculation can be explained with given input values -> 2626.245 = 4/5.

FAQ

What is Angle of Circular Sector given Arc Length?

Angle of Circular Sector given Arc Length formula is defined as the angle formed by two radii of the Circular Sector, calculated using the arc length of the Circular Sector and is represented as ∠_Sector = l_Arc/r or Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector. Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector & Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

How to calculate Angle of Circular Sector given Arc Length?

Angle of Circular Sector given Arc Length formula is defined as the angle formed by two radii of the Circular Sector, calculated using the arc length of the Circular Sector is calculated using Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector. To calculate Angle of Circular Sector given Arc Length, you need Arc Length of Circular Sector (l_Arc) & Radius of Circular Sector (r). With our tool, you need to enter the respective value for Arc Length of Circular Sector & Radius of Circular 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 Angle of Circular Sector?

In this formula, Angle of Circular Sector uses Arc Length of Circular Sector & Radius of Circular Sector. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2)

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