Answer :

Given: OC = CB = BA = AO = 7 cm

To find: Area of the shaded area, which implies Area of CBAP.

We can formulate a formula to find the area of the shaded region, CBAP.

Let OC = CB = BA = AO = r as side of square = radius of quadrant.

As

Area of square CBAO = Area of quadrant of the circle OCPA + Area of shaded region CBAP

⇒ Area of shaded region CBAP = Area of square CBAO – Area of quadrant of the circle OCPA

⇒ Area of shaded region CBAP = (r)^{2}– [πr^{2}]/4

[∵, Area of square = (side)^{2} = (r)^{2} and area of quadrant of circle = (πr^{2})/4]

⇒ Area of shaded region CBAP = (7)^{2} – [3.14×(7)^{2}]/4 = 49 – 38.46 = 10.5

Hence, area of shaded region is 10.5 cm^{2}

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