Write the formula for the area of a sector of angle θ (in degrees) of a circle of radius r.
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Answer:
The formula for the area of the sector of a circle, A is (θ/360) × πr².
Step-by-step explanation:
Given :
Let radius of the circle be ‘r’ and angle subtended at the centre of the circle be ‘θ’ .
Area of the sector of a circle, A = (θ/360) × πr²
Hence, the formula for the area of the sector of a circle, A is (θ/360) × πr².
★★ If θ = 180° , then sector becomes a semicircular region and its area is ½ πr².
★★ If θ = 90° , then sector becomes a quadrant of a circle and its area is ¼ πr².
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