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Question: The angle of a sector is 90 degrees and the radius of the circle is 3 cm. Calculate the area of the sector.


A ) 3π2 square cm
B ) 9π2 square cm
C ) 9π4 square cm
D ) 3π4 square cm

Steps to derive

1 Area of the sector of a circle = 12r2θ
 [Formula.]

2 90° = 90 × π180 = π2 radians
 [Convert degrees to radians.]

3 = 12 × (3)2 × π2
 [Substitute the values.]

4 = 9π4

5 So, the area of the sector of the circle is 9π4 square cm.



Hence the right answer is Option C

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