Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference 352 cm. Then the circumference of each circular plate is

Answer: Option A

Circumference of paper sheet = 352
$$\begin{array}{rl}& 2\pi R=352\\ & R=\frac{352}{2\pi }=\frac{352\times 7}{2\times 22}=56\text{ cm}\\ & r=\frac{R}{2}=\frac{56}{2}=28\text{ cm}\end{array}$$
∴ Circumference of circular plate
$$\begin{array}{rl}& =2\pi r\\ & =2\times \frac{22}{7}\times 28\\ & =176\text{ cm}\end{array}$$