10th Class
Mathematics
Mensuration
Question Bank
Mensuration
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 \[=\frac{1}{4}\,\pi \,{{(8)}^{2}}=\frac{1}{4}\times \frac{22}{7}\times 64\] \[=50.28\,sq\,\,cm\]