Area of Circular Sector Calculator

✖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 [∠_Sector]			+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%

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

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Formula

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Area of Circular Sector

Formula

`"A" = "∠"_{"Sector"}/2*"r"^2`

Example

`"8.726646m²"="40°"/2*("5m")^2`

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Area of Circular Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2
A = ∠_Sector/2*r^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.
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.
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

Angle of Circular Sector: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Radius of Circular Sector: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ∠_Sector/2*r^2 --> 0.698131700797601/2*5^2

Evaluating ... ...

A = 8.72664625997001

STEP 3: Convert Result to Output's Unit

8.72664625997001 Square Meter --> No Conversion Required

FINAL ANSWER

8.72664625997001 ≈ 8.726646 Square Meter <-- Area of Circular Sector

(Calculation completed in 00.020 seconds)

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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 Formula

Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2
A = ∠_Sector/2*r^2

How to Calculate Area of Circular Sector?

Area of Circular Sector calculator uses Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2 to calculate the Area of Circular Sector, Area of Circular Sector is the area of the portion of a circle cut through two radii at a particular central angle. Area of Circular Sector is denoted by A symbol.

How to calculate Area of Circular Sector using this online calculator? To use this online calculator for Area of Circular Sector, enter Angle of Circular Sector (∠_Sector) & Radius of Circular Sector (r) and hit the calculate button. Here is how the Area of Circular Sector calculation can be explained with given input values -> 8.726646 = 0.698131700797601/2*5^2.

FAQ

What is Area of Circular Sector?

Area of Circular Sector is the area of the portion of a circle cut through two radii at a particular central angle and is represented as A = ∠_Sector/2*r^2 or Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2. 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 & Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

How to calculate Area of Circular Sector?

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

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

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

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