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: the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is ? 
Options: a ) 52.6 , b ) 45.3 , c ) 52.8 , d ) 52.1 , e ) 52.2

SOLUTION: b

PROBLEM: Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction d of the area of triangle abc is the area of triangle xyz ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 5 , e ) 1 / 3

SOLUTION: a

PROBLEM: Problem: a metallic sheet is of rectangular shape with dimensions 40 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is : 
Options: ['a ) 3220 m cube', 'b ) 4140 m cube', 'c ) 2688 m cube', 'd ) 4000 m cube', 'e ) none of these']

SOLUTION:
c