题目

If the diameter of circle A is eight times that of circle B, what is the ratio of the area of circle A to the area of circle B ?


选项

A.

4: 1

B.

8: 1

C.

16: 1

D.

32: 1

E.

64: 1

解析

已知 \frac{d_1}{d_2} = 8 面积比为: \frac{A_1}{A_2} = \frac{\pi (d_1)^2}{\pi (d_2)^2} = \left(\frac{d_1}{d_2}\right)^2 = 8^2 = \frac{64}{1} 因此,选项 E 正确。
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