Solve the Problem $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,824 = 0$

Multiple Choice

Solve the problem.
-Earth is represented on a map of the solar system so that its surface is a circle with the equation $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,824 = 0$ . A weather satellite circles $0.4$ units above the Earth with the center of its circular orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map.

A) $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$
B) $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0$
C) $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0$
D) $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0$