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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 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.
[1] The proportion of the sheet area that remains after punching is:
1). (π+2)/8
2). (6-π)/8
3). (4-π)/8
4). (π-2)/4
5). (14-3π)/8
[2] Find the area of the part of the circle (round punch) falling outside the square sheet.
1). π/4
2). (π-1)/2
3). (π-1)/4
4). (π-2)/2
5). (π-2)/4
asked in CAT
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