A rain gauge (AKA udometer, pluviometer, ombrometer, and hyetometer) is the instrument used by meteorologists and hydrologists to gather and measure the amount of liquid precipitation over an area in a specific period of time.
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You can't; one measures area, and the other measures length.
Inches of water measured by meteorologists determine how much precipitation has fallen in a given area. That area is not regulated therefore cannot be measured universally. eg. One could measure rainfall using a 55 gallon drum or a 250 ml and be the same. As long as both containers were completely cylindrical.
Perimeter Measures the outside of the shape Area Area measures the inside of the shape Both Measurements that describe the shape
You don't. One measures length, the other measures area.
You can't. One measures area, the other measures length.