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

3. Originally Posted by terr13
2.) We know that the diagonal of a square of side a is $\sqrt(2) * a$ This can come from the Pythagorean Theorem, or Trigonometry.
So if a = 1, then the diagonal is $\sqrt(2)$. If that square has side $\sqrt(2)$, its diagonal is $\sqrt(2) * \sqrt(2) = 2$. A square with side 2 has area 4.

Terr you totaly lost me on the explanation!

4. Let's use the coordinate plane.

5. The only thing you need for the 2nd one is that the diagonal of a square is $\sqrt(2)$times its side length.