MathDB

Let circles

C_1

and

C_2

be internally tangent at point

P

, with

C_1

being the smaller circle. Consider a line passing through

P

which intersects

C_1

Q

and

C_2

R

. Let the line tangent to

C_2

R

and the line perpendicular to

\overline{PR}

passing through

Q

intersect at a point

S

outside both circles. Given that

SR = 5

RQ = 3

, and

QP = 2

, compute the radius of

C_2

Problem Statement