Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠ AOC = 40°.
(CBSE 2014)

Area of the shaded region = Area of Bigger sector – Area of Smaller Sector
If r2 and r1 are the two radii of Bigger and Smaller circles respectively, then:
Area of bigger sector = 40/360 πr22
Area of smaller sector = 40/360 πr12

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(CBSE 2013)
(CBSE 2013, 14)