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Q.

A horse is placed for grazing inside a rectangular field 40 m by 36 m and is tethered to one corner by a rope 14 m long. Over how much area can it graze?

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a

    154 m2

b

    158 m2

c

    160 m2

d

    152 m2 

answer is A.

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Detailed Solution

Length of the rectangular field = 40 m Breadth = 36m
Then length of the rope through which the horse is tethered is one corner = 14 cm
Question ImageThe angle AOB = 900 Now ,
Area = angle made by the arc ADB x 𝜋𝑟2
3600
= 90
360

22 x 14 x14
7
= 154 sq.m .
 
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