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– [πr2]/4
[∵, Area of square = (side)2 = (r)2 and area of quadrant of circle = (πr2)/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 cm2
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RS Aggarwal - Mathematics