Problem B. 4644. (September 2014)

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 pont)

Deadline expired on October 10, 2014.

Statistics:

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 solutions.

Problems in Mathematics of KöMaL, September 2014