TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: anup manages to draw 7 circles of equal radii with their centres on the diagonal of a square such that two extreme circles touch two sides of the square and each middle circle touches two circles on either side . find the ratio of radius of the circles to the side of the square . 
Options: ['a ) 1 : ( 2 + 6 ^ ( 1 / 2 ) )', 'b ) 1 : ( 4 + 7 ^ ( 1 / 3 ) )', 'c ) ( 2 + 7 ^ ( 1 / 2 ) ) : 1', 'd ) ( 2 + 7 ^ ( 1 / 2 ) ) : 2', 'e ) none of these']

SOLUTION: e

PROBLEM: Problem: the diameter of a circle is 4 / π . find the circumference of the circle . 
Options: ['a ) 8', 'b ) 4 π', 'c ) 4', 'd ) 6', 'e ) 5']

SOLUTION: a

PROBLEM: Problem: right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 5 and the height of the prism is 10 , what is the volume of the prism ? 
Options: ['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']

SOLUTION:
e