Question 35
In this diagram the center of the circle is $O,$ the radius is $a$ inches, chord $EF$ is parallel to chord $CD,$ $O,$ $G,$ $H,$ $J$ are collinear, and $G$ is the midpoint of $CD.$ Let $K$ (square inches) represent the area of trapezoid $CDFE$ and let $R$ (square inches) represent the area of rectangle $ELMF.$ Then, as $CD$ and $EF$ are translated upward so that $OG$ increases toward the value $a,$ while $JH$ always equals $HG,$ the ratio $K:R$ becomes arbitrarily close to:
