I need a geometry expert. If I have an apple pie, how do I slice it into 5 equal pieces?

Question

I know how to slice into 6 obviously, but I would like to know if there is a formula I can use based off of said pie's diameter to to have 5 equal size pieces. I remember a good deal of high school geometry, I just need help dividing a a known circumference into five parts. Thanks!

Answer 1

The most practical is to use a protractor to measure sectors of 360/5 = 72 degrees.  The circumference is π d so you could calculate the circumference, divide it by five, and use a string to measure that distance around the perimeter.  Or you could use trigonometry to calculate relevant distances if you don't have a protractor.

Answer 2

Can't you divide the circumference by five and then measure then mark the pie at those points and slice toward the exact center? Why wouldn't that work?

Answer 3

Without actually getting out your protractor and measuring off five 72 degree areas, there is no way to divide a pie into 5 equal parts.  That's like trying to tri-sect an angle!  It's impossible to do.

Answer 4

Inscribe a pentagon, and at each point of the pentagon draw a line to the center of the 'pie', or the angle of each slice will be 360/5=72 deg