Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The area of a circular field is equal to the area of a rectangular field. The ratio of the length and the breadth of the rectangular field is 14 : 11 respectively and perimeter is 100 metres. What is the diameter of the circular field?
(a)14 m
(b)22 m
(c)24 m
(d)28 m
(e)None of these
Answer
Answer (as printed): D
Explanation
$2(14 x+11 x)=100 \Rightarrow 25 x=50 \Rightarrow x=2$. So, length and breadth of the rectangular field are 28 m and 22 m respectively. Area of the circle = Area of the rectangular field $=(28 \times 22) \mathrm{m}^{2}=616 \mathrm{m}^{2}$. Let the radius of the circle be $r$ meters. Then, $\frac{22}{7} \times r^{2}=616 \Rightarrow r^{2}=\frac{616 \times 7}{22}=196 \Rightarrow r=14 \mathrm{m}$. $$\therefore \text { Diameter }=(2 \times 14) \mathrm{m}=28 \mathrm{m} .$$