A equilateral triangle and a perfect square are inscribed within a circle with radius 1. What is the area outside of the triangle and the square, however still inside the circle?
When I was in high school, our math teacher took Fridays off from regular teaching to give us students a chance to stump him with some math problems. I took this as a challenge to come up with some of the hardest problems I could do at the time. However, often I came up with more than enough problems for the week so they went to waste. So here come the problems!
Sunday, January 26, 2014
Tuesday, January 21, 2014
Imagine a hollow cube. A ant is placed in a corner and a spider in the opposite corner. Both start to move along cube edges and when they each reach a corner, they can move in any direction (x,y,z) with probability 1/3. Both also move from corner to corner at the same pace. To the nearest percent, what is the probability that after 10 times of changing corners, the spider has ran into the ant?
Sunday, January 19, 2014
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