As an example of using Kepler's 3rd Law, let's calculate the "radius" of the
orbit of Mars (that is, the length of the semimajor axis of the orbit) from
the orbital
period. The time for Mars to orbit the Sun is observed to be 1.88 Earth
years. Thus, by Kepler's 3rd Law the length of the semimajor axis for the
Martian orbit is
which is exactly the measured average distance of Mars from the Sun.
As a second example, let us calculate the orbital period for Pluto, given that
its observed average separation from the Sun is 39.44 astronomical units.
From Kepler's 3rd
Law
which is indeed the observed orbital period for the planet Pluto.