Question

A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminum of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square.

Find the area of the part of the circle (round punch) falling outside the square sheet.

• A. $\frac{\pi }{4}$
• B. $\frac{\pi -1}{2}$
• C. $\frac{\pi -1}{4}$
• D. $\frac{\pi -2}{2}$
• E. $\frac{\pi -2}{4}$

Answer 1

The correct option is D $\frac{\pi -2}{2}$

Option (D) is the correct answer. Check the video for the approach.