# ALGEBRA

posted by .

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?

## Similar Questions

1. ### Math

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 between the circles will be covered with grass. What is the area of that …
2. ### Algebra

Write a polynomial for the area between two concentric circles if the radius of the outer circle is two less than three times the radium of the inner circle.
3. ### math word problem

A rectangle garden is 30 ft by 40 ft. Part of the garden is removed in order to install a walkway of uniform width around it. The area of the new garden is one-half the area of the old garden. How wide is the walkway?
4. ### math

Mariah is planting a rectangular rose garden. In the center of the garden, she puts a smaller retangular patch of grass. The grass is 2 ft by 3 ft. What is the area of the rose garden?
5. ### Math

The dimensions of Mrs. Singleton's square garden are dilated using a scale factor of 3. What is the relationship between the area of the new garden and the old garden?
6. ### GEOMETRY(CIRCLE)

Three circles with different radii have their centers on a line. The two smaller circles are inside the largest circle, and each circle is tangent to the other two. The radius of the largest circle is 10 meters. Together the area of …
7. ### Knox fields.

A garden in form of a square is surrounded by a path which is 1m wide on two opposite sides and 1^2m wide on the other two opposite sides.if the area of the path is 17m^2.Calculate the perimeter of the garden and the area of the space …
8. ### math

A garden in the farm of a square, is surrounded by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides. If the area of the path is 17msquared, calculate the : Perimeter of the garden Area of …
9. ### math

Mariah is planting a rectangular rose garden. In the center of the garden, she puts a smaller retangular patch of grass. The grass is 2 ft by 3 ft. What is the area of the rose garden?
10. ### Math

There are two circular gardens A and B. The circumference of garden A is 1.760 km and the area of garden B is 25 times the area of garden A. Find the circumference of garden B.

More Similar Questions