First formula is used by local earthquakes epicentral distance. Up to 1000 km. If the epicenter of the earthquake is 215 kilometers away that equals 215 centimeters on the map.
Magnitude is the physical size of the earthquake see cross-section below the length L x the width W x the slip D.
First formula is used by local earthquakes epicentral distance. Seismic magnitude scales are used to describe the overall strength or size of an earthquakeThese are distinguished from seismic intensity scales that categorize the intensity or severity of ground shaking quaking caused by an earthquake at a given location. The two ways in which an earthquake is measured on this scale are based on the ground movement caused by the earthquake which is measured by a seismometer and the energy released by the earthquake which is correlated with the ground movement. It didnt have distance limitations between the location of the seismograph and the earthquake epicenter.