How I wish I could recollect pi easily today. 3.14159265 when you count the letters in each word.
Also the old school cheer:
Cosine, secant, tangent, sine
3 point 1 4 1 5 9
Square root, integral u d v
Slip stick, slide rule, MIT!
I guess 'slide rule' dates me.
Tau Beta Pi cheer ....
Here's a very good approx of PI: Take the pattern 113355, divide the last 3 digits by the first 3, 355/113 = 3.141592... These first 7 digits are the same as those of PI.