Bored...
With the power of Wikipedia for reference I have decided to calculate the total exterior surface area of a hypothetical dyson sphere built at exactly 5AU (my personal preference for one as it would allow for the total containment of Earth and the inner planets in their current forms) out from the sun in comparison Jupiter is approx 5.2.
So we know the radius of 5AU, which would give us a diameter of 10AU.
The Area of a Sphere is PId^2:
A = 3.14 (10)^2
A = 3.14 (100)
A = 314 AU
So the total area is approximately 314 sqAU, or approximately 29,202,000,000 sqMi.
-J-
So we know the radius of 5AU, which would give us a diameter of 10AU.
The Area of a Sphere is PId^2:
A = 3.14 (10)^2
A = 3.14 (100)
A = 314 AU
So the total area is approximately 314 sqAU, or approximately 29,202,000,000 sqMi.
-J-