Answer :

To find the area of the shaded region, we need to find the area of the whole region and subtract it to the area of the piece of circle OAB.

Area of POQ is given by

Area(POQ) =

⇒ Area(POQ) = [∵, radius (r) of POQ = 7 cm]

⇒ Area(POQ) = …(i)

Area of AOB is given by

Area(AOB) =

⇒ Area(AOB) = [∵, radius (r) of AOB = 3.5 cm]

⇒ Area(AOB) = …(ii)

Area of shaded region is given by

Area = Area(POQ) – Area(AOB)

⇒ Area =

⇒ Area =

⇒ Area =

⇒ Area = 9.625 cm^{2}

Hence, the area of the shaded region is 9.625 cm^{2}.

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