Question

problem 3
the table shows the diameters of 4 different coins.
to determine how much metal is on one face of a coin, it is more useful to use the area rather than the circumference.
explain why this is the case.

Explanation:

The amount of metal on one face of a coin corresponds to the flat, circular surface area of that face. Circumference only measures the length of the outer edge of the coin, which does not represent the amount of material covering the face. Area quantifies the 2-dimensional space (and thus the metal coverage) of the coin's face, making it the relevant measurement.

Answer:

The metal on a coin's face is a 2-dimensional surface. Area measures this surface space, while circumference only measures the edge length. So area directly reflects the amount of metal on the face, making it more useful than circumference.