Suppose you drop a tie at random on the rectangular region shown in Fig. 13.14. What is the probability that it will land inside the circle with diameter 1 m?     (FIGURE)

Suppose you drop a die at random on the rectangular region shown in Figure. What is the probability that it will land inside the circle with diameter 1m?

A missing helicopter is reported to have crashed somewhere in the rectangular region in Fig. 13.5. What is the probability that it is crashed inside the lake shown in the figure? (FIGURE)

A missing helicopter is reported to have crashed somewhere in the rectangular region shown in Fig. 15.2. What is the probability that it crashed inside the lake shown in the figure?

In figure, a dart is thrown and lands in the interior of the circle. What is the probability that the dart will land in the shaded region?

In the Fig. 13.12, J K L M is a square with sides of length 6 units. Points A and B are the mid-points of sides K L and L M respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of J A B ? (FIGURE)

In the Figure, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

A game of change consists of spinning an arrow which is equally likely to come to rest pointing to one of the number, 1,\ 2,\ 3,\ ddot,\ 12 as shown in Fig. 13.3. What is the probability that it will point to: (FIGURE) (i) 10? (ii) an odd number?

A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land inside the circle.

Four equal circles are described about the four corners of a square so that each touches two of the others as shown in Fig. 15.38. Find the area of the shaded region, each side of the square measuring 14 cm. (FIGURE)

A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land : (ii) outside the circle.