Answer:
B) four times
Explanation:
Area of 6 meter telescope
[tex]A_1=\pi \frac{D^2}{4}\\\Rightarrow A_1=9\pi[/tex]
Area of 3 meter telescope
[tex]A_2=\pi \frac{D^2}{4}\\\Rightarrow A_1=2.25\pi[/tex]
Dividing the equations we get
[tex]\frac{A_1}{A_2}=\frac{9\pi}{2.25\pi}\\\Rightarrow A_1=4A_2[/tex]
Hence, the 6-meter telescope has 4 times the light-collecting area of the 3-meter telescope.
