Posted by **ggift** on Monday, September 14, 2009 at 10:24pm.

The GARDEN AREA PROBLEM:

A designer created a garden from two concentric circles whose equations are as follows:

(x+2)2 + (y-6)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??

- ALGEBRA -
**Reiny**, Monday, September 14, 2009 at 10:41pm
I assume you meant

(x+2)^2 + (y-6)^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.

- ALGEBRA -
**ggift**, Tuesday, September 15, 2009 at 6:41am
yes all the 2's outside of the parenthesis are squared

- ALGEBRA -
**MathMate**, Tuesday, September 15, 2009 at 8:45am
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 non-concentric, or one of the equations had a typo?

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