Mars had an orbital period of 1.88 years. in two or more complete sentences, explain how to calculate the average distance from mars to the sun, then calculate it

This is an interesting problem involving astronomy, in fact, simple physics.
Let r=distance of sun to mars, in metres

Mars had an orbital period of 1.88 years.
=>
tangential velocity, v, of the planet, in m/s is

m/s, accounting for leap years
   m/s

The centripetal force, Fc, generated is
   
        where m=mass of mars = 6.39*10^(24) kg




The gravitation pull from the sun, Fg, is given by

    where G=grav. const., =6.67408*10^(-11) m^3 kg^(-1) s^(-2)
              M=mass of sun=1.989*10^(30) kg



Since the radial distance is in equilibrium, the average distance, r can be found by equation Fc=Fg and solving for r:
Fc=Fg
=>

Solving for the real root:


=2.279*10^11 m