Think you’ve got your head wrapped around **Circles**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Given one line and one circle that you can arrange in any way you like, what is the minimum number of points where they intersect?

0

1

2

3

4

Q. Given one line and one circle that you can arrange in any way you like, what is the maximum number of points where they intersect?

0

1

2

3

4

Q. Suppose line *q *is tangent to ⊙*O* at the point *P*. Which of the following must be true?

Line *q *is parallel to *OP* and is not parallel to any other radius of ⊙*O*.

Line *q* is perpendicular to *OP* and is not perpendicular to any other radius of ⊙*O*.

Line *q* is parallel to *OP* and may be parallel to another radius of ⊙*O*.

Line *q* is perpendicular to *OP* and may be perpendicular to another radius of ⊙*O*.

None of the above

Q. In the figure below, segments *AC* and *BC* are tangent to ⊙*O* at points *A* and *B*, respectively. If *AO* = 3 cm and *AC* = 5 cm, what is *CB*?

3 cm

5 cm

6 cm

cm

There is not enough information to find *CB*

Q. What is the equation of a circle with radius 12 units and center at (3, -2)?

(*x* – 3)^{2} + (*y* + 2)^{2} = 12

(*x* + 3)^{2} + (*y* – 2)^{2} = 12

(*x* + 3)^{2} – (*y* – 2)^{2} = 12

(*x* – 3)^{2} + (*y* + 2)^{2} = 144

(*x* + 3)^{2} + (*y* – 2)^{2} = 144

Q. What is the center of the circle with equation (*x* – 5)^{2} – (*y* + 18)^{2} = 67?

(5, -18)

(5, 18)

(-5, -18)

(-5, 18)

No such circle exists

Q. What is the radius of the circle with equation (*x* – 8)^{2} + (*y* + 1)^{2} = 54?

units

54 units

54^{2} units

8 units

No such circle exists

Q. What is the exact circumference of the circle with equation (*x* + 5)^{2} + (*y* + 2)^{2} = 36?

4π units

10π units

12π units

14π units

There is not enough information

Q. If line *m* is tangent to ⊙*O* at *P* and the slope of the line containing *OP* is , what is the slope of line *m*?

0

Q. Consider the circle with radius 6 units, centered at the origin. Where is the point (-3, 4) in relation to the circle?

In the interior of the circle

In the exterior of the circle

On the circle

Tangent to the circle

Perpendicular to the circle