Q. 25.0( 3 Votes )

ABCD, square park, has each side of length 80 m. There is a flower bed at each corner in the form of a sector of radius 7 m, as shown in figure 13.20. Find the area of the remaining part of the park.



Figure 13.20

Answer :

side of a square park (a) = 80 cm


radius of the sectors (r) = 7 cm


we can notice that all the sectors can form a circle of radius 7 cm


so, the area of remaining part of park =


area of square – area of circle


= a2 - π × r2


= 802 - π × 72


= 6,240.06 cm2


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