Practice with
Graphs of Circles
Topic Index | Geometry Index | Regents Exam Prep Center

 

Answer the following questions dealing with graphs of circles.
 

1.

Which of the following equations of a circle has center at (1,-3)
and radius of 5? 

Choose:




 

 

2.

What is the equation of a circle whose diameter is 24 and whose center is at the origin? 

Choose:




 

 

3.

An ambulance company provides services within an 80 mile radius of their headquarters.  If this service area is represented graphically,  with the headquarters located at the coordinates (0,0), what is the equation that represents the service area?

Choose:




 

 

 

4.

 What are the coordinates of the center of this circle?

Choose:

(3,5)
(-3,5)
(-3,-5)
(3,-5)

 

 

5.

What are the coordinates of the center of this circle?
 

Choose:

(7,7)
(0,7)
(-7,-7)
(0,-7)

 

 

6.

 The point (1,2) is on the circle whose equation is 

Choose:

True
False

 

 

7.

The center of a circle represented by the equation
is located in Quadrant _____.
 

Choose:

I
II
III
IV


 

 

8.

What are the coordinates of the center of the circle represented by the equation
 
?
 

Choose:

(3,4)
(3,-4)
(-3,4)
(-3,-4)

 


 

9.



What is the equation of a circle with
center (-3,1) and radius 7? 

Choose:




 


 

10.

A circle has the equation
 .
What are the coordinates of its center
and the length of its radius?

 

Choose:

(-1,3) and 4
(1,-3) and 4
(-1,3) and 16 
(1,-3) and 16