
Directions: Read carefully and choose the best answer.
1. 
Write the equation of a circle whose center is at (3,2) and has a radius of 11. 



2. 
Given the equation of a circle,
(x  5)^{2} + (y + 3)^{2} = 196,
state the coordinates of the center and the radius. 

Choose:


3. 
State the coordinates of the center and the radius of a circle whose equation is
x^{2} + y^{2} + 2x  4y  11 = 0 . 



4. 
Graph the circle: x^{2} + 10x + y^{2}  6y =  30.
 

5. 
Write the equation of a circle whose center is (4,8) and passes through the point (2,1). 




Write the general equation of a circle that is tangent to the xaxis, with a center located at (4,6).

 
7. 
Show that the point lies on a circle whose center is the origin and contains the point (0,3).



8. 
The equation x^{2} + y^{2}  12x  8y + 27 = 0 is equivalent to: 



9. 
A regular hexagon ABCDEF with a side length of 4 units is centered at G(5,3). State the general equation of the circle circumscribing the hexagon. 



10. 
Which of the equation choices could represent the circle shown on the graph? (Check all that apply, and hit SUBMIT!) 


(Assume a radius of integer length.) 
11. 
The equation x^{2} + y^{2}  6x + 4y = d
describes a circle.
a) Determine the ycoordinate of the center of the circle.
b) The radius of the circle is 6 units. What is the value of "d" in the given equation.




12. 
Given circle: x^{2}  9x + y^{2} = 4.75
In centerradius form, this equation will be written as:




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