Mensuration Ques 14

Question

What is the area of a circle whose radius is equal to the side of a square whose perimeter is 112 metres?

(1) 176 sq. m.

(2) 2504 sq. m.

(3) 284 sq. m.

(4) 1956 sq. m.

(5) None of these

(Punjab & Sind Bank PO Exam. 23.01.2011)

Show Answer

Correct Answer: (5)

Solution: (5)

Side of a square $=\frac{\text { Perimeter }}{4}$ $=\frac{112}{4}=28$ metre

$\therefore$ Radius of circle $=28$ metre

$\therefore$ Area of circle $=\pi r^{2}$ $=\frac{22}{7} \times 28 \times 28=2464$ sq. metre