1988 AMC 8 第 13 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

13.

如果玫瑰丛之间大约相隔 11 英尺,那么要围住一个半径为 1212 英尺的圆形露台,大约需要多少丛玫瑰?

If rose bushes are spaced about 11 foot apart, approximately how many bushes are needed to surround a circular patio whose radius is 1212 feet?

1212

3838

4848

7575

450450

答案:D
知识点:圆周长估算
难度评级:860
解答:

玫瑰丛围绕圆形边缘,所以数量约等于周长 2πr=2π(12)2\pi r = 2\pi(12)

π3.14\pi \approx 3.14,约为 2×3.14×12752 \times 3.14 \times 12 \approx 75 英尺,所以大约需要 7575 丛。

所以正确答案是 D

The bushes surround the circular edge, so their number is about the circumference 2πr=2π(12).2\pi r = 2\pi(12).

Using π3.14,\pi \approx 3.14, this is about 2×3.14×12752 \times 3.14 \times 12 \approx 75 feet, so roughly 7575 bushes are needed.

Thus, the correct answer is D .

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