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Tag Archives: circles
Conceptual Solution to 2008 AIME I, Problem 14
Here’s a solution to problem 14 on the 2008 AIME I contest that attempts to avoid computation as much as possible. Sometimes, it’s an amusing exercise to try to solve a contest problem entirely in your head. Doing so often forces … Continue reading
Posted in Contest Math, math
Tagged AIME, circles, ellipse, geometry, optimization, tangent
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Why is the area under one hump of a sine curve exactly 2?
I was talking with a student recently who told me that he always found the fact that amazing. “How is it that the area under one hump of the sine curve comes out exactly 2?” He asked me if there is … Continue reading
Use Your Mind to Save Yourself Time
I’m looking forward to Games Night at the Math Prize for Girls coming up this weekend. I’ve been working with the author of “Mess or Math?” to create a really fun math activity and I hope many of you who … Continue reading
Posted in Contest Math, math, Math Education
Tagged AMC 12, circles, circumference, geometry, similarity, tangent circles
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A Problem For Circle Lovers
Here’s a math problem for anyone who loves circles.
Circles, Squares, and Parabolas
If you take two circles, you can position them before your right eye in such a way that one will perfectly overlap the other. In other words, a circle is geometrically similar to all other circles. The same is true … Continue reading