A wire of length is cut into two parts that are bent

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A wire of length

a

is cut into two parts that 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)

\frac{a^2}{\pi+4}

(b)

\frac{a}{\pi+4}

(c)

\frac{a}{4(\pi+4)}

(d)

\frac{a^2}{4(\pi+4)}