circle geometry

1.Two circles are drawn in a 12-inch by 14-inch rectangle. Each circle has a diameter of 6 inches. If the circles do not extend beyond the rectangular region, what is the greatest possible distance between the centers of the circles?

** I came up with 8inches just by looking at the word problem, but I dont know how to set it up **



2. The area of square I is 1 square unit. A diagonal of square I is a side of square II, and a diagonal of square II is a side of square III. What is the area of square III?

2.) We know that the diagonal of a square of side a is This can come from the Pythagorean Theorem, or Trigonometry.
So if a = 1, then the diagonal is . If that square has side , its diagonal is . A square with side 2 has area 4.

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Originally Posted by terr13

2.) We know that the diagonal of a square of side a is This can come from the Pythagorean Theorem, or Trigonometry.
So if a = 1, then the diagonal is . If that square has side , its diagonal is . A square with side 2 has area 4.

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Terr you totaly lost me on the explanation!

Let's use the coordinate plane.

The only thing you need for the 2nd one is that the diagonal of a square is times its side length.