## What does it mean?

** Surface area** – A 2-dimensional measurement that has both a length and a width. For instance, it could be the area on top of a table, in which case the surface area would be the product of the table’s length and width. Surface area can also be the total area covering a shape. As an example, the surface area of a cube is the length of one of its sides squared (that’s the area of a face of the cube) times 6 (since a cube has 6 faces).

## In human speak please!

In this episode, the crew discovers that the inside of the Dyson Sphere has a surface area of 2.81 x 10^{17} km^{2}, it might be hard to imagine, but this is the same surface area as about 500 million Earths put together. The surface area of a sphere is actually very easy to calculate, and it’s done from the following formula:

Surface Area = 4 x (Pi) x r^{2}

Where “r” is the radius of the sphere and (Pi) is that special number, approximately 3.14159256. If we let “r” be about the distance from the Earth to the Sun (149.60 x 10^{6} km), then we get the following equation:

Surface Area = 4 x (Pi) x (149.60 x 10^{6})^{2} = 4 x 3.14159256 x (2.238016 x 10^{16}) = 2.81 x 10^{17}

2.81 x 10^{17} km^{2}, which is about 500 million times the surface area of the Earth.