ALGEBRA
posted by ggift .
The GARDEN AREA PROBLEM:
A designer created a garden from two concentric circles whose equations are as follows:
(x+2)2 + (y6)2 = 16 and (x+2)2 + (y+6)2= 81
The area of the two circles will be covered with grass. What is the area of that section??

I assume you meant
(x+2)^2 + (y6)^2 = 16 and (x+2)^2 + (y+6)^2= 81
you state that the two circles are concentric, but according to your equations the first one has a centre of (2,6) and (2,6) so there is clearly a typo. 
yes all the 2's outside of the parenthesis are squared

Please verify and correct the typo.
The question says the circles are concentric, but the equations give two circles of radii 4 and 9 which intersect each other.
Would the circles be nonconcentric, or one of the equations had a typo?