Suppose That the Area of a Circle Is Numerically Equal $\frac { \pi } { 8 }$

Multiple Choice

Suppose that the area of a circle is numerically equal to 2 times the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square. Find the length of a side of the square.

A) $\frac { \pi } { 8 }$
B) $8 \pi$
C) $\frac { \pi } { 16 }$
D) $\frac { 8 } { \pi }$
E) $\frac { 16 } { \pi }$