Question

Consider two different cloth – cutting processes. In the first one, only one circle of maximum possible area is cut from the square of side ‘a’ and the process ends there.In the Second process, n circular cloth pieces are cut from a square cloth piece of side 'a' in the following steps : the original square of side a is divided into n smaller squares and a circle of max area is cut from each of those squares. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to that in the latter is

• A. 1 : 1
• B. 2 : 1
• C. $\frac{n(4-\pi )}{4n-\pi }$
• D. $\frac{(4n-\pi )}{n(4-\pi )}$

Answer 1

The correct option is A 1 : 1

Option A is the correct answer. Check the video for the approach.