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March 27, 2017

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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 - ,

    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 - ,

    yes all the 2's outside of the parenthesis are squared

  • ALGEBRA - ,

    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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