A piece of wire when bent to form a circle will have a radius of 84cm. if the wrie is bent to form a square… · ABC26GN4695
Subject: General Aptitude · Chapter: Area
A piece of wire when bent to form a circle will have a radius of 84cm. if the wrie is bent to form a square, the length of a side of the square is [DMRC—Customer Relationship Assistant (CRA) Exam, 2016]
(a)216 cm
(b)133 cm
(c)132 cm
(d)168 cm
Answer
Answer (as printed): C
Explanation
Given length of the piece of wire = 84 cm Length of the piece of wire = Circumference of circle $$=2 \pi r=2 \times \frac{22}{7} \times 84=528 \mathrm{cm} .$$ Length of each side of square $=a$ ∴ Perimeter of square $=4 a=528 \mathrm{cm}$ ∴ Side of square $=\frac{528}{4}=132 \mathrm{cm}$