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A wire of length 2 units is cut into two...

A wire of length 2 units is cut into two parts which are bent respectively to form a square of `s i d e=x` units and a circle of `r a d i u s=r` units. If the sum of the areas of the square and the circle so formed is minimum, then : (1) `2x=(pi+4)r` (2) `(pi+4)x=pir` (3) `x=2r` (4) `2x=r`

A

`(4- pi) pi = pi r`

B

`x = 2r`

C

`2x = r`

D

`2x = (pi + 4) r`

Text Solution

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The correct Answer is:
B
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