Question 864599
The area of just the pond only is exactly {{{pi*r^2 = pi*10^2 = 100pi}}} square feet.



The radius of pond + the path is 10+2 = 12 ft, so the area of the pond+path is is exactly {{{pi*r^2 = pi*12^2 = 144pi}}} square feet.



The area of just the path only is equal to the difference of the two areas: 



Area of Path Only = (Area of Pond+Path) - (Area of Pond Only)



Area of Path Only = {{{144pi - 100pi}}}



Area of Path Only = {{{(144 - 100)pi}}}



Area of Path Only = {{{44pi}}}



The exact area of the path only is {{{44pi}}} square feet. If you use the decimal approximation of {{{3.14}}} for {{{pi}}}, then the approximate area of the path is {{{44pi=44*3.14=138.16}}} square feet.



Keep in mind that {{{pi}}} goes on infinitely in terms of the decimal expansion. So use more decimal digits of {{{pi}}} to get a more accurate picture of the approximate area.