Endless Pi

Today is Pi Day because March 14, when written as 3/14, looks like the start of pi – 3.14159265…(it goes on and on). Pi tells us that the edge, or circumference of a circle, is 3.14 times the circle’s width, or diameter. If you wrap a measuring tape around your head, find that length in inches, and divide by pi, you’ll get the width of your head — and that is your hat size! Better yet, when you bake a pie, the width tells you how much crust you’ll need around the edge…and that is the best pi of all.

Wee ones: Try to find 3 circles in your room.

Little kids: If you slice one pie into 6 slices and another same-size pie into 4 slices, which pie has bigger slices? Bonus: How many slices do the 2 pies have in total?

Big kids: If your bike has 2-foot-wide tires and they turn 10 times as you ride, about how many feet did you roll? (You can round pi to 3 if you like, or use 3 1/7, or try 3.14!). Bonus: If your head is 22 inches around, what hat size do you wear?

The sky’s the limit: If you ride 440 feet, how many times did the 2-foot-wide wheels turn, if you round pi to 3 1/7?

Answers:
Wee ones: Answers might include clocks, edges of plates and cups, and Frisbees.

Little kids: The slices from the 4-slice pie are bigger: you cut fewer slices, so each has more pie in it. Bonus: 10 slices.

Big kids: The tire is about 6 feet around (or 6 1/7, or 6.28), so you ride about 60 feet (or 60 +20/7, which equals 62 6/7…or 62.8). Bonus: About size 7.

The sky’s the limit: 70 times. 2 x 3 1/7 (or 22/7) is 44/7, and if 440 is 44/7 of the wheel turn count, then 440 divided by 44 gives you 1/7 of it. 440/44 is 10. So 10 is 1/7 of the total turn count, giving us 70 turns.
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