The sides of a rectangle are chosen at random each less than 10 cm, all such lengths being equally likely. The chance that the diagonal of the rectangle is less than 10 cm is
A
110
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B
120
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C
π4
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D
π8
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Solution
The correct option is Cπ4 Let l1,L−2<10 be the sides of the rectangle ⟹√l21+l22
= Length of diagonal √2(10)2. Favourable region is the interior 14 of a circle of radius 10cm.