Category Archives: Geometry

Q: Is the edge of a circle with an infinite radius curved or straight?

Physicist: Straight. In fact, in mathematics the “curvature” of a curve is usually defined as the “reciprocal of the radius of the osculating circle”.  This is fancy talk for: fit a circle into the curve as best you can, then … Continue reading

Posted in -- By the Physicist, Geometry, Math | 26 Comments

Q: π = 4?

Physicist: Recently this picture has been floating around confusing everyone, and making people think that maybe Indiana wasn’t completely off base when they moved to declare that . The exact answer to this question comes from deep in the field … Continue reading

Posted in -- By the Physicist, Geometry, Math | 23 Comments

Q: Why is pi not a definite number?

The original question was: If the diameter of a circle is a fixed number, say 10cm, why does Pi go on for billions of numbers even though it extrapolates from the diameter’s value? Why is it not a definite number? … Continue reading

Posted in -- By the Mathematician, Geometry, Math | 7 Comments

Q: What is The Golden Ratio? How is it used in Mathematics?

Physicist: The golden ratio, g, is . The golden ratio is defined in many (equivalent) ways but the best known is: if A and B are two numbers such that the ratio of A+B to A is equal to the … Continue reading

Posted in -- By the Physicist, Equations, Geometry, Math, Philosophical | 8 Comments

Q: If you could see through the Earth, how big would Australia look from the other side?

The original question was: Relative to the size my feet appear when I’m standing up and looking at the ground, how large would Australia appear if I could see all the way through the Earth and observe its shape?  Also, … Continue reading

Posted in -- By the Physicist, Brain Teaser, Geometry | 2 Comments

Q: What are the Intersecting Chord and Power of a Point Theorems?

Mathematician: The Intersecting Chords theorem asks us to consider two intersecting line segments inside of a circle (such that each line segment starts and ends on the edge of the circle). Each line segment can be thought of as being … Continue reading

Posted in -- By the Mathematician, Geometry, Math | Leave a comment