# circle geometry

• Nov 20th 2008, 12:53 PM
xsriel
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?
• Nov 20th 2008, 12:58 PM
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.
• Nov 20th 2008, 01:10 PM
xsriel
Quote:

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!
• Nov 20th 2008, 02:55 PM
tdschool
Let's use the coordinate plane.
• Nov 20th 2008, 06:03 PM
terr13
The only thing you need for the 2nd one is that the diagonal of a square is $\sqrt(2)$times its side length.