2010 AMC 8 第 10 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。
10.
如图摆放时，六片圆形意大利辣香肠正好横跨一个 英寸披萨的直径。如果总共 片辣香肠无重叠地放在这个披萨上，披萨面积的几分之几被辣香肠覆盖？
Six pepperoni circles will exactly fit across the diameter of a -inch pizza when placed as shown. If a total of circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered by pepperoni?
答案：B
小提示：
面积按直径比例的平方缩放，然后乘以 片
Area scales with the square of the diameter, then multiply by pepperoni circles.
大提示：
六个小圆直径等于披萨直径
Six small diameters equal the pizza diameter.
解答：
每片圆形辣香肠的直径是大圆直径的 ，所以它的面积是总面积的 。
因为有 片辣香肠，所以覆盖面积为 。
所以正确答案是 B。
Each circle has the diameter of the large circle, so it has of the total area.
Since there are pepperoni, they take up of the area.
Therefore, the answer is B .
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