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Mathematics
Mathematics
Problem
A wire of length
a
a
a
is cut into two parts which 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)
a
2
π
+
4
\frac{a^2}{\pi+4}
π
+
4
a
2
(b)
a
π
+
4
\frac{a}{\pi+4}
π
+
4
a
(c)
a
4
(
π
+
4
)
\frac{a}{4(\pi+4)}
4
(
π
+
4
)
a
(d)
a
2
4
(
π
+
4
)
\frac{a^2}{4(\pi+4)}
4
(
π
+
4
)
a
2
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