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

= a^{2} - π × r^{2}

= 80^{2} - π × 7^{2}

= 6,240.06 cm^{2}

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Figure 13.29

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Figure 13.27

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