Q. 64.8( 4 Votes )

ABCD is a square of side 20 cm. Find the area of blue coloured region formed by the semi-circles drawn on each side as shown in figure 13.26. ( = 3.14)



figure 13.26.

Answer :

side of a square (a) = 20 cm


we can see the semi-circle in the square having 10 cm as radius (r)


area of the colored region =


area of 4 semi-circles - area of the square


= 4 × ( × r2) - a2


= 2 (π × 102) - 202


= 228 cm2


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