question_answer

A horse is tethered to a peg with a 14 m long rope at the corner of a 40 m long and 24 m wide rectangular grass field. What area of the field will the horse graze?

A)  \[154\text{ }{{m}^{2}}\]

B)  \[308\text{ }{{m}^{2}}\]

C)  \[240\text{ }{{m}^{2}}\]

D)  \[480\text{ }{{m}^{2}}\]

E)  None of these

Correct Answer: A

Solution :

[a] Required area \[=\,\frac{1}{4}\times \pi {{R}^{2}}=\frac{1}{4}\times \frac{22}{7}\times 14\times 14=154\,{{m}^{2}}\]