JEE Math Practice Question
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:
- A.$$x=2r$$
- B.$$2x=r$$
- C.$$2x = \left( {\pi + 4} \right)r$$
- D.$$\left( {4 - \pi } \right)x = \pi \,\, r$$
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