Working out areas and volumes of circles and spheres respectively
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The value of pi is the circumference of a circle divided by its diameter
The ancient Greeks did the original work of inventing geometry as we know it, and pi is a letter in the Greek alphabet, so it was a convenient symbol for them to use.
Multiply the degrees by pi and divide by 180.
Pi is only constant in Euclidean Geometry, it is not the same in other Geometries. In the non-Euclidean geometry that Relativity theory uses the difference between PiE and PiNE is extremely small, approaching zero.
Area = radius2 x 3.1415Circumference = diameter x 3.1415