MathDB

Circles

P

Q

, and

R

are externally tangent to one another. The external tangent of

P

and

Q

that does not intersect

R

intersects

P

and

Q

P_Q

and

Q_P

, respectively.

Q_R

R_Q

R_P

, and

P_R

are defined similarly. If the radius of

Q

4

and

\overline{Q_PP_Q} \parallel \overline{R_QQ_R}

, compute

R_PP_R

Problem Statement