As shown in the figure, use a sector cardboard with a radius of 24.0 to make a conical hat (the seams are ignored). If the radius of the bottom surface of the conical hat is 10.0, then the area of ​​this sector cardboard is ()
Choices:
A:240πcm^{2}
B:480πcm^{2}
C:1200πcm^{2}
D:2400πcm^{2}
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, use a sector cardboard with a radius of 24.0 to make a conical hat (the seams are ignored). If the radius of the bottom surface of the conical hat is 10.0, then the area of ​​this sector cardboard is ()
Choices:
A:240πcm^{2}
B:480πcm^{2}
C:1200πcm^{2}
D:2400πcm^{2}
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, use a sector cardboard with a radius of 24.0 to make a conical hat (the seams are ignored). If the radius of the bottom surface of the conical hat is 10.0, then the area of ​​this sector cardboard is ()
Choices:
A:240πcm^{2}
B:480πcm^{2}
C:1200πcm^{2}
D:2400πcm^{2}