The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is:
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 21.46 cm2.
Arc length (l) = Perimeter - 2 × Radius
= 20.6 - 2 × 7.4
= 20.6 - 14.8
= 5.8 cm
Area of sector = (1/2) × Radius × Arc length = (1/2) × 7.4 × 5.8 = 21.46 cm2
Therefore, the area of the sector is 21.46 cm2.