Question

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Answer 1

Area of square-Area of 4 quadrants

1st :

area of square , side=12

then area =a^2=(12)^2

therefore area of square= 144cm^2----1

2nd :

area of quadrant: 1/4πr^2

1/4×22/7×6×6

198/7×4. [ given 4 quadrants]

so, 792/7= 113.1 cm^2----------2

Subtracting the two area so that we get the required shaded region

144-113.1

=30.9 cm^2

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Answer 2

Answer:

Given,

side of square =  12 cm(AB = BC = CD = DA)

and, AP = PB = BQ =QC= CR = RD = DS = AS =(1/2× AB)= 6cm

Now,

Area of shaded region  = area of square - 4× area of quadrants

=>Area of shaded region  = (side)² - 4×(1/4 $\pi$ × r²)

=>Area of shaded region =  (12)²  -  ( 3.14 × 6 × 6)

=>Area of shaded region = 144 - 113.04

                     

                     => Area of shaded region = 30.96 cm²

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