Question 1014254
The answer to part a: can be written as {{{Area= pi(4+4r+r^2) }}} ,
or even as {{{Area= pi*r^2+4pi*r+4pi}}} ,
but given {{{r}}}, it may be easier to calculate area using the equivalent expression
{{{Area= pi(r+2)^2}}} .
 
The radius of the interior circle is
{{{r=diameter/2=3ft/2=1.5ft}}} ,
so, using the "formula" for area found above, the area of the rug in square feet, is
{{{Area= pi(1.5+2)^2= pi*3.5^2=12.25pi}}} .