What do
inches and centimeters have to do with
astronomy? That's what first popped into my mind when I discovered this amazing relationship. Suppose you have a circle
with a diameter measured in centimeters and a magnitude equal to exactly 10 synodic months.
We'll use the value of 29.53 for the length of the synodic month. It turns out that the magnitude of the
circumference of the circle, measured in inches matches the length of the
tropical year in days.
Math:
10 × 29.53 cm × π = 927.71 cm
927.71 cm ÷ 2.54 cm/inch = 365.24 inches