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A wire of length a is cut into two parts...

A wire of length `a` is cut into two parts which are bent, respectively, in the form of a square and a circle. The least value of the sum of the areas so formed is `(a^2)/(pi+4)` (b) `a/(pi+4)` `a/(4(pi+4))` (d) `(a^2)/(4(pi+4))`

A

`a^2/ (pi + 4)`

B

`a/(pi + 4)`

C

`a/(4(pi +4 ))`

D

`a^2/(4 (pi + 4))`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • A wire of length 2 units is cut into two parts which are bent respectively to from a square ofside c units and a circle of radius r units if the sum of the sum of the areas of the square and the circle so fromed is minimum then

    A
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