Subject :IMO Class : Class 10

A circle with area *A*_{1} is contained in the interior of a larger circle with area *A*_{1} + *A*_{2}. If the radius of the larger circle is 3 units and *A*_{1}, *A*_{2}, *A*_{1} + *A*_{2} are in A.P., then the radius of the smaller circle is _____.

A units

B 1 unit

C 2 units

D units