1953 AMC 12 第 12 题

Question

两个圆的直径分别为

8

英寸和

12

英寸。较小圆与较大圆的面积之比为：

The diameters of two circles are

8

inches and

12

inches respectively. The ratio of the area of the smaller to the area of the larger circle is:

\dfrac23

\dfrac49

\dfrac94

\dfrac12

以上答案均不正确

none of these

圆的面积与其直径的平方成正比

Circle areas scale as the squares of their diameters

将直径比

\frac{8}{12}

平方

Square the diameter ratio

\frac{8}{12}

面积之比等于直径之比的平方：

\left(\frac8{12}\right)^2=\left(\frac23\right)^2=\frac49\text{。}

因此，正确答案是 B。

The area ratio is the square of the diameter ratio:

\left(\frac8{12}\right)^2=\left(\frac23\right)^2=\frac49.

Thus, the correct answer is B.

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