Q15 of 37 Page 13

Find the area of the shaded region in the given figure if radii of the two concentric circles with centre O are 7cm and 14 cm respectively and ∠AOC=40°.

Given: Radius of the small circle, OB = 7cm


Radius of second circle, OA = 14cm


and ∠AOC=40°





= 17.11 cm2





= 68.4 cm2


Area of the shaded region = Area of sector OAC


– Area of sector OBD


= 68.4 – 17.1


= 51.3 cm2


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