How can you show geometrically that 3 < π < 4?

Approximating Pi was a favourite pastime of many ancient mathematicians, none more so than Archimedes. Using his polygon approximation method we can get whole number bounds of 3 and 4 for the universal constant, with only high-school level geometry.

This is the latest question in the I Love Mathematics series where I answer the questions sent in and voted for by YOU. To vote for the next question that you want answered next remember to ‘like’ my Facebook page here.

What is the graph of x to the power x?

The answer to the latest question sent in and voted for by YOU.

A tricky question, but one that we can answer by breaking the problem down into simpler cases, solving them, and then putting it all back together. This question is also a favourite with university admissions tutors…

 

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What is the Gamma Function?

The answer to the latest question sent in and voted for by YOU!

We’ve got probability distributions, complex analysis and of course Pi (because it appears everywhere)… I give you the Gamma Function.

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How does Modular Arithmetic work?

The latest question sent in and voted for by YOU!

Modular arithmetic might sound complicated, but most of us are using it everyday without even realising…

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