It's BREAK!!! BREAK!!! BREAK!!! I'm gonna rush through all the Warmups and stuff in one day!
MERRY CHRISTMAS DUDES!
Yep, and no one's gonna read this until January anyways... Shucks.
So I guess you guys'll do this when you get the chance ;).
Problem 2: This is a classic simple geometry problem.
A circle is inscribed in a square. In the area in one of the four corners of the square, in the area outside the circle, is inscribed another circle. If the square had side length 2, what is the radius of the smaller circle?
By the way, when a circle touches (we call that is tangent to) a line, the center of the circle is at a right angle to where the circle meets the line. In this case, if you connected the center of the circle with every point on the square that touches the circle, you would get 4 right angles. (think about why). In this case, the circle touches at the midpoint of each of the square's edges, the center of the circle is also the center of the square.
ReplyDeleteAlso, every point on the circle is equidistant to the center (this distance is called the radius).
1 more hint... PYTHAGOREAN THEROEM.