2024 AMC 8 第 22 题
先试着解答 2024 AMC 8 第 22 题，然后核对你的答案与视频与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2024 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
22.
一卷胶带直径为 英寸，缠绕在直径为 英寸的圆环上。胶带截面如下图所示。胶带厚 英寸。若把胶带完全展开，它大约有多长？答案四舍五入到最接近的 英寸整数倍。
A roll of tape is inches in diameter and is wrapped around a ring that is inches in diameter. A cross section of the tape is shown in the figure below. The tape is inches thick. If the tape is completely unrolled, approximately how long would it be? Round your answer to the nearest inches.
小提示：
胶带占据一个外半径 、内半径 的圆环
The tape occupies an annulus with outer radius and inner radius
大提示：
胶带截面积等于厚度乘以总长度
Area of tape cross-section equals thickness times total length
视频讲解：
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文字解答：
胶带占据一个外半径为 英寸、内半径为 英寸的圆环，所以它的截面积为
胶带展开后，同一个截面成为厚 英寸、长 英寸的长方形。因此 所以 英寸。四舍五入到最接近的 英寸整数倍，胶带长约 英寸。
所以正确答案是 B。
The tape occupies an annulus with outer radius inches and inner radius inch, so its cross-sectional area is
When unrolled, this same cross section is a rectangle of thickness inches and length Thus so inches. Rounded to the nearest inches, this is inches.
Thus, B is the correct answer.
其他年份的第 22 题
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