AHSME 1952 Problem 27

The ratio of the perimeter of an equilateral triangle having an altitude equal to the radius of a circle, to the perimeter of an equilateral triangle inscribed in the circle is: $\textbf{(A)}\ 1:2 \textbf{(B)}\ 1:3 \textbf{(C)}\ 1:\sqrt3 \textbf{(D)}\ \sqrt3:2 \textbf{(E)}\ 2:3$