Question

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°.​

Answer 1

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$Area \: of \: ring \: is \: given \: as \:  π(R2−r2) \\ =22/7×(196−49) \\ =22×21=462 \\ area \: of \: ring \: sector \: is  \: x/360×area \: of \: ring  \\ ⟹40/360×462=51.33c {m}^{2}$

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Answer 2

Answer:

Areaofringisgivenas π(R2−r2)

=22/7×(196−49)

=22×21=462

areaofringsectoris x/360×areaofring

⟹40/360×462=51.33cm