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A wire of length 2 units is cut into two parts which are bent

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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 :

2 x = (π + 4) r

(π + 4) x = π r

x = 2 r

2 x = r

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Benjamin Discussed

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 :

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Question Text	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 :
Answer Type	Video solution: 1
Upvotes	150