Q2 of 36 Page 253

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


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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A chord of a circle, of length 10 cm, subtends a right angle at the centre. Find the areas of the minor segment and the major segment formed by the chord. (π = 3.14)

 1

A rectangle whose length and breadth are 12 cm and 5 cm respectively is inscribed in a circle. Find the area of the blue coloured region, as shown in the figure 13.19.


Figure 13.19


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What will be the cost of covering the white portion in figure 13.21 with a silver foil if the rate is Rs. 100 per m2? (π = 3.14)


Figure 13.21


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ABCD is a square plate of 1 m length. As shown in figure circles are drawn with their center at A, B, C, D respectively, each with radius equal to 42 cm. The blue coloured part at each corner, as shown in the C figure 13.22 is cut. What is the area of the remaining portion of the plate?


Figure 13.22