Mensuration Ques 12

Question

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

(1) $154 m^{2}$

(2) $308 m^{2}$

(3) $240 m^{2}$

(4) $480 m^{2}$

(5) None of these

(IBPS Specialist Officer CWE 17.03.2013)

Show Answer

Correct Answer: (1)

Solution: (1)

Required area $=\frac{\theta}{360^{\circ}} \times \pi r^{2}$

$=\frac{90 ^{\circ}}{360 ^{\circ}} \times \pi r^{2}$

$=\frac{1}{4} \times \frac{22}{7} \times 14 \times 14$

$=154 sq$. metre