# Problem #1134

 1134 Three circles of radius $1$ are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle? $\mathrm{(A) \ } \frac{2 + \sqrt{6}}{3} \qquad \mathrm{(B) \ } 2 \qquad \mathrm{(C) \ } \frac{2 + 3\sqrt{2}}{2} \qquad \mathrm{(D) \ } \frac{3 + 2\sqrt{3}}{3} \qquad \mathrm{(E) \ } \frac{3 + \sqrt{3}}{2}$ This problem is copyrighted by the American Mathematics Competitions.
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