Calculate the area of the designed region in Fig. 12.34 common between the two quadrants of circles of radius `8` cm each.

Explanation

as we can see that

ar(2 quad) = area (square) + ar(design)

ar(design) = 2* ar(quadrant) - ar(square)

`= 2*1/4* pi r^2 - r^2`

`= (pi r^2)/2 - r^2`

`= r^2(pi/2 - 1)`

`=8^2(1/2*22/7 - 1)`

`= 64(11-7)/7`

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