Mathematics

Problem

Two circles of radii

a

and

b

touching each other externally, are inscribed in the area bounded by

y = \sqrt{1-x^2}

and the X-axis. If

b = \frac{1}{2}

, then

a

is equal to a.

\frac{1}{4}

\frac{1}{8}

\frac{1}{2}

\frac{1}{\sqrt{2}}