CBSE Class 10 Maths (Standard) 2017 · Paper 30/3 · Question 13

Areas Related to Circles 3 marks Medium

Three semicircles each of diameter

3

cm, a circle of diameter

4.5

cm and a semicircle of radius

4.5

cm are drawn in the given figure. Find the area of the shaded region.

Large semicircle (r = 4.5) with central circle (d = 4.5) and three small semicircles (d = 3); shaded region marked by hatching.

Answer

Area of the shaded region

= \frac{99}{8} = 12.375

^{2}

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