Consider two different cloth – cutting processes. In the first one, 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. In the second process, only one circle of maximum possible area is cut from the square of side ‘a’ and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. What is the ratio of the total area of scrap cloth generated in the former to that in the latter?

1 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\sqrt{2} : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{n (4 - π)}{4 n - π}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{4 n - π}{n (4 - π)}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 1 : 1
The correct answer is option (a). Check the video for the approach.

Suggest Corrections

Similar questions

Q. Consider two different cloth-cutting processes. In the first one, 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. In the second process, only one circle of maximum possible area is cut from the square of side ‘a’ and the process ends there. 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

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

Q. Consider two different cloth-cutting processes. In the first one, 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, not necessarily of the same size; then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side 'a' and the process ends there. 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 later is

A square of side ' $x$ ' meters is bent in the form of a circle and later this circle is cut into two equal halves. One half is bent to form a square. Find the difference in the areas of the circle and the square bent from the half cut circle if $x$ = 2. [4 MARKS]

A square of side x metres is bent in the form of a circle and later this circle is cut into two equal halves. One half is bent to form a square. Find the difference in the areas of circle and the square bent from the half cut circle if x=2. [4 MARKS]

Join BYJU'S Learning Program

The correct option is A 1 : 1The correct answer is option (a). Check the video for the approach.

The correct option is A 1 : 1
The correct answer is option (a). Check the video for the approach.