Find the area of shaded region approximately in the given figure if AB 12 cm and BC 9 cm with O bein...........

Quantitative Aptitude ( CCS) Geometry

Find the area of shaded region (approximately) in the given figure if AB = 12 cm and BC = 9 cm with O being the centre of circle.

27 cm²

23 cm²

39 cm²

34 cm²

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Explanation:

ABC forms a right angles triangle, so AC = √(9^2 + 12^2) = 15 cm
So diameter of circle = 15 cm, so radius = 15/2 cm
Area of semicircle = ½ * 22/7 * 15/2 * 15/2 = 88.39 sq cm
Area of triangle = 1/2 * base * height = 1/2 * 9 * 12 = 54 sq cm
So area of shaded region = 88.39 – 54 = 34