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A punching machine is used to punch a ci...

A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminium 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.

The proportion of the sheet area that remains after punching is:

A

`pi//4`

B

`(pi-1)//2`

C

`(pi-1)//4`

D

`(pi-2)//4`

Text Solution

Verified by Experts

The correct Answer is:
D
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