In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be
Options: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 19 , e ) 15 : 23

Output: d

Input: Consider Input: Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ?
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2

Output: c

Input: Consider Input: Problem: in a circle with a radius of 6 , what is the area of the biggest rectangle that can be cut out of this circle ?
Options: ['a ) 12', 'b ) 96', 'c ) 50', 'd ) 72', 'e ) 144']
Output: d