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A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and

A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and a circle of radius = r units. If the sum of the areas of the square and the circle so formed is minimum, then:

(1) (4-π)x = πr


(2) x = 2r


(3) 2x = r


(4) 2x = (π + 4)r

 

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