A horse is tethered for grazing inside a rectangular field 70 {\m} by 52 {\m} and is tethered to one corner by a rope 21 {\m} long. How much area can it graze?

Sainik School Entrance Exam 2019 Solved Paper

Question : 48 of 150

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A horse is tethered for grazing inside a rectangular field

70 {\m}

52 {\m}

and is tethered to one corner by a rope 21

{\m}

long. How much area can it graze?

Solution:

(a) Area grazing by horse = Area of Sector MQN

={πr^2\θ}/360

={π(21)^2×90}/360 ......(\here \θ=90°)

=22/7×{21×21}/4=346.5 \m^2

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