a missing helicopter is reported to have crashed somewhere in the rectangular region . in the rectangular region there is a lake in one corner and in the remaining corners there are three water bodies each in the shape of a quadrant of a circle of radius 700m
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b'length of the rectangular field=9Km
breadth of the rectangular field=4.5Km
area of field,A=length*breadth
=9*4.5
=40.5Km2
length of the lake=(9-6)Km
=3Km
breadth of the lake=(4.5-2)Km
=2.5Km
Area of lake,a=3*2.5
=7.5Km2
Pr=Aa=40.57.5=0.18
Thus the probability that it crashed inside the lake is 0.18
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A missing helicopter is reported to have crashed somewhere in the rectangular region shown in fig. What is the probability that it crashed inside the lake shown in the figure?
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Solution
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b'length of the rectangular field=9Km
breadth of the rectangular field=4.5Km
area of field,A=length*breadth
=9*4.5
=40.5Km
2
length of the lake=(9-6)Km
=3Km
breadth of the lake=(4.5-2)Km
=2.5Km
Area of lake,a=3*2.5
=7.5Km
2
Pr=
A
a
=
40.5
7.5
=0.18
Thus the probability that it crashed inside the lake is 0.18