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Chapter 20: Chapter 20

Problem 390

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The ratio of the areas of two circles is \(9: 4\). The length of the radius of the larger circle is how many times greater than the length of the radius of the smaller circle?

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So, the length of the radius of the larger circle is \(\frac{3}{2}\) times greater than the length of the radius of the smaller circle.
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Step 1: Conclusion

So, the length of the radius of the larger circle is \(\frac{3}{2}\) times greater than the length of the radius of the smaller circle.

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A 1 -acre field in the shape of a right triangle has a post at the midpoint of each side. A sheep is tethered to each of the side posts and a goat to the post on the hypotenuse. The ropes are just long enough to let each animal reach the two adjacent vertices. What Is the total area the two sheep have to themselves, i.e., the area the goat cannot reach?
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