Question

Calculate the 1 surface area (A1) of a disk having a radius of 50 AU and compare it to the area (A2) of a disk whose radius is only 5 AU. Express the areas in units of square kilometers and state the results in words with reference to

Answer 1

Area of a circle A = rπ2

A1 = (50 × 149.6 × 106)2 × 3.14 = 1.756 1020 km2

A2 = (5 × 149.6 × 106)2 × 3.14 = 1.756 × 1018 km

Outer region of the solar system:

A1 - A2 = (175.6 - 1.756) × 1018 = 173.84 × 1018 km

Inner region of the solar system: 2

A = 1.756 × 1018 km

inner region/(outer region) = (1.756 x 1018)/(173.84 x 1018) = 0.0101

Inner region = 0.0101 Outer region