The Kakeya problem was proposed in 1917, by the Japanese mathematician Soichi Kakeya. The problem states,

In the class of figures in which a segment of length 1 can be turned around through 360˚, remaining always within the figure, which one has the smallest area?



In this talk I will give a very brief introduction to the Kakeya problem. I will give connections with harmonic analysis and some other field. I will also talk about the recent progress on the problem.