instruction:
In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
Problem: an artist wishes to paint a circular region on a square poster that is 3.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? 
Options: ['a ) 1 / pi', 'b ) sqrt ( 2 / pi )', 'c ) 1', 'd ) 2 / sqrt ( pi )', 'e ) sqrt ( 5.78 / pi )']
answer:
e


question:
Problem: find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm . 
Options: ['a ) 150 sq . cm', 'b ) 120 sq . cm', 'c ) 130 sq . cm', 'd ) 125 sq . cm', 'e ) 110 sq . cm']
answer:
b


question:
Problem: a right circular cylinder has a height of 22 and a radius of 5 . a rectangular solid with a height of 15 and a square base , is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall . liquid is then poured into the cylinder such that it reaches the rim . what is the volume of the liquid ? 
Options: ['a ) 500 ( π – 3 )', 'b ) 500 ( π – 2.5 )', 'c ) 500 ( π – 2 )', 'd ) 550 ( π – 1.5 )', 'e ) 500 ( π – 1 )']
answer:

d