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B. 4644. Two circles of radius $\displaystyle r$ are inscribed in a semicircle of radius $\displaystyle R$ such that the circles touch each other externally and the semicircle internally, as shown in the figure. Determine the radius $\displaystyle r$.

(3 points)

Deadline expired on 10 October 2014.

Statistics on problem B. 4644.
 308 students sent a solution. 3 points: 221 students. 2 points: 61 students. 1 point: 20 students. 0 point: 5 students. Unfair, not evaluated: 1 solution.

• Problems in Mathematics of KöMaL, September 2014

•  Támogatóink: Morgan Stanley