 Quadratic Relations (Circle) Practice Terms of Use    Contact Person: Donna Roberts  Directions: The following question pertain to the graphing of quadratic relations which are circles. Choose the best answer.

1.
What is the radius of a circle whose equation is:
x2 + y2 = 144? Choose:
 8 12 16 24

 2. Which of the following equations could describe the relation seen in the graph at the right? (Check all that apply!) x2 = 16 - y2 x2 + y2 = 4 x2 = 4 - y2 x2 + y2 = 16 x2 + y2 - 16 = 0 x2 + y2 - 4 = 0 Center is at the origin.

3.
Which of the following points lies on a circle with equation:
(x - 1)2 + (y + 2)2 = 5?

Choose:
 (3,4) (2,2) (3,-1) (1,-2) 4.
What choice could be the equation of the circle shown below?
Choose:
 (x - 1)2 + (y - 2)2 = 3 (x + 2)2 + (y - 1)2 = 3 (x - 1)2 + (y + 2)2 = 9 (x + 2)2 + (y - 1)2 = 9

5.
Which of the following statements is NOT true for the circle seen in the graph?
Choose:
 The center is at the origin. The radius is 3. The equation is x2 + y2 = 3. The point is on the circle.

6.
Write the equation of a circle with a center at (0,0) and a radius of 9.

Choose:
 x2 + y2 = 9 x2 + y2 = 81 x2 - y2 = 9 x2 - y2 = 81

7.
Write the equation of a circle with center at (5,2) and a radius of 7.
Choose:
 (x + 2)2 + (y + 5)2 = 49 (x - 2)2 + (y - 5)2 = 49 (x - 5)2 + (y - 2)2 = 49 (x + 5)2 + (y + 2)2 = 49

8.
What are the coordinates of the center of this circle?
(x + 6)2 + (y - 8)2 = 225

Choose:
 (6,8) (-6,8) (6,-8) (8,-6) 