What is the area in cm2 of shaded portion bounded by three semicircle as shown in the figure It is g...........

Quantitative Aptitude ( CCS) Geometry

What is the area (in cm²) of shaded portion bounded by three semicircle as shown in the figure? (It is given that the radius of two smaller semicircle is 1 cm)

4π

8π – 1/2

4π – 1/2

None of these

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Explanation:

Area of the shaded portion (A + B) = Area of the bigger semicircle (B + C) as the two smaller semicircle 'A' and 'C' will have equal area
Radius of the smaller semicircle = 1cm
Now, Radius of the bigger semicircle = Diameter of the smaller semicircle
∴ Radius of the bigger semicircle = 2 cm
Area of the shaded region =
1/2× π × 2² = 2 π cm²