In the adjoining figure, square ABCD is...

In the adjoining figure, square ABCD is inscribed in the sector A-PCQ. The radius of sector C-BXD is 20 cm. Complete the following activity to find the area of shaded region.

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The correct Answer is:

The area of the shaded ragion is` 314 cm^(2)`

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In the figure, square ABCD is inscribed in the sector A-PCQ. The radius of sector C-BXD is 20 cm. Complete the following activity to find the area of the shaded portion. Side of the square ABCD = radius of sector C-BXD = 20 cm Area of square ="side"^2= 400 cm^2 Area of sector C-BXD = theta/360xx pir^2 =square/360xx3.14xx20^2=square cm^2 Area of the shaded portion inside square = Area of square - A (sector C- BXD) =400-square cm^2 Radius of sector A-PCQ= Length of diagonal of square ABCD r_1=20sqrt2 cm Area of the shaded region outside square = A(sector A-PCQ)-A (square ABCD) =90/360xx3.14xx(20sqrt2)^2-200 = squarecm^2 :. total area of shaded portion = area of shaded portion inside square + area of shaded portion outside square = square cm^2

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