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In a circle of radius 6 cm semi circles are drawn inside the circle as shown in the figure.Where AB is diameter with center as O. All circles having integral radii (use S = 3.141). Area of shaded region is. (The area within lines is shaded area.) |
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Answer» SINCE, Length of AB, BC and CD are equal. Radius of circle =6cm Now, AD=2×6=12cm ⇒AB+BC+CD=12 ⇒3AB=12 ⇒AB=312 ⇒AB=4cm ⇒AB=BC=CD=4cm Radius of semicircle AB=2cm Radius of semicircle BC=4cm Radius of semicircle AD=6cm Area of the shaded region = Area of semicircle (AB+AD) − Area of semicircle (BD) ⇒ Area of shaded region =0.5π(22+62)−0.5π(4)2 ⇒ Area of shaded region =0.6π(4+36)−0.5π×16 ⇒ Area of shaded region =20π−8π ⇒ Area of shaded region =12πcm2. |
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