The area of Circle O is added to its diameter. If the circumference of Circle O is then subtracted from this total, the result is 4. What is the area of Circle O?
Choose the correct choice from the following answers.
A) 2/π  B) 2  C) 8  D) 4  E) 4π
area+diameter-circumference=4   pi*r^2+2r=4+2pi*r   isolate r and get r(pi*r+2)=4+2pi*r   r=(4+2pi*r)/(pi*r+2) =&gt;2(2+pi*r)/(pi*r+2)   r=2   Area = pi * r^2 =&gt; pi * 4   4π
<result>E</result>
The area of Circle O is added to its diameter. If the circumference of Circle O is then subtracted from this total, the result is 4. What is the area of Circle O?