The Second hand of a watch is16mm long, what area does it sweep through in 45seconds

1 answer

In 60 seconds, the hand sweeps out a full circle.

Full circle is 360°

The area of circle = r^2 π

The area of this circular segment is:

A = r^2 π • 45 / 60 =

16^2 π • 15 • 3 / 15 • 4 =

256 π • 3 / 4 = 256 π • 0.75 =

192 π mm^2