In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
Q: Problem: if abc is a quarter circle and a smaller circle is inscribed in it ; if radius of quarter circle is 1.414 units . find the radius of smaller circle
Options: ['a ) 0.586', 'b ) 0.687', 'c ) 0.784', 'd ) 0.874', 'e ) 0.974']
A:
a