Happy International Pi Day!
Published on March 14, 2023
Published on Wealthy Affiliate — a platform for building real online businesses with modern training and AI.
Hi, WA Friends!
Did you know that today is Pi Day?
Pi Day is an international celebration of the mathematical constant "Pi." It is celebrated annually on March 14th (3.14).
Unfortunately, this is not the kind of pie that you can eat, but it still has its uses.
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What The Heck Is Pi, Anyway?
Pi is the ratio of a circle’s circumference to its diameter and is approximately equal to 3.14159.
It is an irrational number, meaning that it can’t be accurately expressed as a fraction because its decimal digits never end. Despite the fact that it is an irrational number, pi is incredibly useful in mathematics. It is used in a variety of equations and calculations, particularly those related to circles and spheres.
Who Invented Pi?
No one person invented Pi. It dates all the way back to ancient Egypt and Babylon (1900-1600 BCE)!
Ten famous equations that use Pi:
1. Area of a Circle: A = πr² - (multiplying pi with the radius of the circle squared)
2. Arc Length: s = rθ - calculates the length of an arc (multiplying the radius of the circle with the angle of the arc in radians)
3. Volume of a Sphere: V = 4/3πr³ - (multiplying 4/3 with pi and the radius of the circle cubed)
4. Surface Area of a Sphere: A = 4πr² - (multiplying 4 with pi and the radius of the circle squared)
5. Law of Cosines: c² = a² + b² - 2ab cos C - calculates the length of the third side of a triangle, by using the lengths of the other two sides and the angle opposite the third side
6. Pythagorean Theorem: a² + b² = c² - calculates the length of the hypotenuse of a right triangle, by using the lengths of the other two sides
7. Trigonometric Identities: sin²x + cos²x = 1 - calculates the values of trigonometric functions, by expressing one trigonometric function as a combination of the other two.
8. Fourier Series: f(x) = a₀/2 + ∑(an cos(nπx/L) + bn sin(nπx/L)) - represents periodic functions as a series of sines and cosines, by summing the coefficients of each wave component.
9. Kepler’s Law of Planetary Motion: r = a(1 – e²)/(1 + e cos(θ)) - calculates the orbit of a planet, by using the semi-major axis and eccentricity of the orbit.
10. Navier-Stokes Equation: ∂u/∂t + (u∙∇)u = – ∇p + ν∇²u - describes the motion of fluid substances, by using the velocity, pressure, and viscosity of the fluid.
Did you know that today is also Albert Einstein's Birthday?
Happy Pi Day 🥧 & Happy Birthday Al! 🎂
Keep On Rockin'!🤘
Frank 🎸
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