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: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ? 
Options: a ) 54 , b ) 432 , c ) 2,160 , d ) 2,916 , e ) 148,824
b

Problem: find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ? 
Options: a ) 180 cm 2 , b ) 150 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2
a

Problem: find the circumference and area of radius 8 cm . 
Options: a ) 124 cm ² , b ) 201 cm ² , c ) 210 cm ² , d ) 184 cm ² , e ) 194 cm ²

b