question_answer

A horse is placed for grazing inside a square field 12 cm long and is tethered to one corner by a rope 8 cm long. The area it can graze is

A)  50.18 sq cm                       

B)  50.28 sq cm  

C)  50.38 sq cm        

D)        50.48 sq cm

Correct Answer: B

Solution :

 Let the grazed portion is shown by shaded  quadrant ABC, Hence, area which horse can graze                 \[=\frac{1}{4}\,\pi \,{{(8)}^{2}}=\frac{1}{4}\times \frac{22}{7}\times 64\]                 \[=50.28\,sq\,\,cm\]