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Mathematics · 2021

JEE Main · 26 August 2021, Shift 1 · Q84

A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the sum of the…

A wire of length $\displaystyle 36$ m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the sum of the areas of the two figures is minimum, and the circumference of the circle is k (meter), then $\displaystyle \left(\frac{4}{\pi}+1\right) \mathrm{k}$ is equal to \_\_\_\_.
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