question_answer

A horse is tethered to a comer of a field which is in the shape of an equilateral triangle. If the length of the rope through which it is tied be 7m, then the area of the field over which it can graze is:

A) 49 sq.cm                     

B)  \[8\pi cm\]

C)  \[H=\frac{h}{{{x}^{2}}}.\]     

D) None of these

Correct Answer: C

Solution :

Each angle of equilateral triangle is\[1000c{{m}^{3}}=1d{{m}^{3}}\], area of field over which the horse can graze = area of sector CDE with central angle\[1{{m}^{2}}=100d{{m}^{2}}\]. \[1Litre=1d{{m}^{3}}=1000c{{m}^{3}}\]