Bangle size is measured by the size of your hand.

To measure your bangle size, tuck your thumb into the palm of your hand and using a thin rope / thread, measure your hand all the way around the set of knuckles closest to your wrist as seen in the image. 

Keep the thread / rope in a ruler and find the length. Compare it with the below chart and find the size.

Bangle Size  Circumference(Inches) MM 
 2-2  6.67 169.4 
 2-4  7.06  179.6
 2-6  7.46  189.5
 2-8  7.85  199.4
 2-10  8.24  209.3

Here is another method to find the bangle size if you already have a bangle with you which fits properly. Measure the inner diameter of the bangle using a ruler. It gives the measurement in millimeter. Compare it with the below chart.

Bangle Size   Diameter(Inches) MM 
 2-2 2.125 54
 2-4 2.25 57.2
 2-6 2.375  60.3
 2-8 2.5 63.5
 2-10 2.625  66.7