Area of Circular Sector given Arc Length Calculator

✖Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.ⓘ Radius of Circular Sector [r]			+10% -10%
✖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%

✖Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.ⓘ Area of Circular Sector given Arc Length [A]

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Formula

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Area of Circular Sector given Arc Length

Formula

`"A" = ("r"*"l"_{"Arc"})/2`

Example

`"10m²"=("5m"*"4m")/2`

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Download Circular Sector Formulas PDF

Area of Circular Sector given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2
A = (r*l_Arc)/2
This formula uses 3 Variables

Variables Used

Area of Circular Sector - (Measured in Square Meter) - Area of Circular Sector is the total quantity of plane enclosed by 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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (r*l_Arc)/2 --> (5*4)/2

Evaluating ... ...

A = 10

STEP 3: Convert Result to Output's Unit

10 Square Meter --> No Conversion Required

FINAL ANSWER

10 Square Meter <-- Area of Circular Sector

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 3 Area of Circular Sector Calculators

Area of Circular Sector given Area of Circle

Go Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector

Area of Circular Sector given Arc Length

Go Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2

Area of Circular Sector

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

Area of Circular Sector given Arc Length Formula

Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2
A = (r*l_Arc)/2

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 Area of Circular Sector given Arc Length?

Area of Circular Sector given Arc Length calculator uses Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2 to calculate the Area of Circular Sector, Area of Circular Sector given Arc Length is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the arc length of the Circular Sector. Area of Circular Sector is denoted by A symbol.

How to calculate Area of Circular Sector given Arc Length using this online calculator? To use this online calculator for Area of Circular Sector given Arc Length, enter Radius of Circular Sector (r) & Arc Length of Circular Sector (l_Arc) and hit the calculate button. Here is how the Area of Circular Sector given Arc Length calculation can be explained with given input values -> 10 = (5*4)/2.

FAQ

What is Area of Circular Sector given Arc Length?

Area of Circular Sector given Arc Length is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the arc length of the Circular Sector and is represented as A = (r*l_Arc)/2 or Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2. Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed & Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector.

How to calculate Area of Circular Sector given Arc Length?

Area of Circular Sector given Arc Length is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the arc length of the Circular Sector is calculated using Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2. To calculate Area of Circular Sector given Arc Length, you need Radius of Circular Sector (r) & Arc Length of Circular Sector (l_Arc). With our tool, you need to enter the respective value for Radius of Circular Sector & Arc Length 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 Area of Circular Sector?

In this formula, Area of Circular Sector uses Radius of Circular Sector & Arc Length of Circular Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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