Pi is used anytime there is a circular (as opposed to linear) geometry involved. Examples include circles, cylinders, spheres, and other cruves.
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Area of circle is pi x radius squared Circumference is p x diameter
Pi is the number you have to use to solve many circle equations. If you want to find the area of a circle, use radius squared times pi. For the circumference, use diameter times pi.
Volume = pi*r2*h You have volume. so you could have two other equations finding radius and height. Radius: 10,000 Liters = pi*r2*h 10,000 Liters/pi*h = r2 sqrt(10,000 Liters/pi*h) = r ===============================
Trigonometric equations often have infinitely many solutions, due to the periodicity of the functions. Take a simple example, sin x = 0. This equation is satisfied by an angle of zero, but also by an angle of pi, 2 x pi, 3 x pi, etc. (this is in radians; the equivalent in degrees would be 0°, 180°, 360°, etc.). Once you find two base solutions (in this case 0 and pi), repeatedly adding the length of the period (in this case, 2 pi, equivalent to 360°) will give you additional solutions.
The identity of the person who introduced the symbol is somewhat ambiguous. It was used by the Welsh mathematician William Jones in 1706 (Palmariorum Matheseos), and it is possible that he used pi because it was the first [Greek] letter in periphery.However, Jones credits John Machin for his equations involving pi, and so it is possible that Machin used pi before Jones. In fact, there may have been others: Willam Oughtred used pi and delta to represent the periphery and diameter in 1647.But the use of pi did not really catch on until it was adoted by one of the most influential mathematician of all times: Leonhard Euler, in 1736.