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HCU MCA 2013 Paper
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© examsnet.com
Question : 4
Total: 75
Four cows are tethered at four corners of a square plot of side 14 m, so that the adjacent cows can just reach one another. There is a small circular pond of area 20 m
2
at the centre. The area left ungrazed is
22 m
2
42 m
2
84 m
2
168 m
2
Validate
Solution:
(a) Area of sector at one corner
=
π
(
7
)
2
4
=
22
7
×
7
2
4
=
154
4
∴ Area of 4 sector =
154
4
×
4
=
154
But area of given circular pond = 20 m
2
∴Required ungrazed area
= Area of square - Area of 4 sector- Area of circular pond
=
(
14
)
2
−
154
−
20
= 196 -174
= 22 m
2
© examsnet.com
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