Estimate the average distance between asteroids that reside between the orbits of Mars and Jupiter. Total area = 1.74 x 1018 km2. Assume that this area is populated by 2 × 106 individual asteroids and that the area surrounding each asteroid is circular in shape.
Area surrounding each asteroid (A)
A((1.74 x 1018)/(2 x 106)) = 0.87 x 1012km2
Radius of the area (A)
A = r2π, r = (A/π)1/2
r = ((0.87 x 1012)/3.14)1/2 = (0.2770 x 1012)1/2 = 0.526 x 106km
r = 526, 000km
