# Find the area of the sector of a circle of radius r and central angle θ.

The area of the sector is the total area subtended by an arc at the center.

## Answer: (θ/ 360) π r ^{2} is the area of the sector of a circle of radius r and central angle θ.

^{2}is the area of the sector of a circle of radius r and central angle θ.

**Explanation: **

The area of a sector can be determined by the area of a sector formula which is given by:

^{2}

θ = an angle subtends by the arc.

Let's take an example:

The area under an arc that subtends an angle of 90º at the center of a circle with a radius of 7 units can be determined by the formula given above.

^{2}

^{2} [taking π = 22/7]

### Thus, (θ/360)πr^{2 }is the area of the sector of a circle of radius r and central angle θ.

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