Brainstorm. Combine the two into the top ten applications of pi. And also doing so by stealing them from the internet. All wrapped up in one tidy package. By the way, I understand some of these applications fully and some not very well at all. I will try to give a short internet-stolen explanation for these.
- Circumference of a circle.
- Area of a circle.
- Volume of a sphere.
- Surface area of a sphere.
- Cosmological constant - Value of the energy density of the vacuum of space. Originally introduced by Albert Einstein in 1917.
- Heisenberg's uncertainty principle - Precision with which certain pairs of physical properties of a particle (such as momentum and position) can be known. Joke break: Heisenberg is driving down the road and is pulled over by a police officer. Police: "Do you have any idea how fast you were going?" Heisenberg: "No, but I know exactly where I am."
- Einstein's field equations of general relativity - Describes the fundamental interaction of gravitation as a result of space time being curved by mass and energy.
- Coulomb's Law - Force between two charged particles.
- Period of a pendulum.
- Buckling formula - Finds the stress an object can handle before "buckling" would occur.