# Circles

### Quizzes

1. |
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 |

2. |
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? -> 2 |

3. |
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 may be parallel to another radius of ⊙O. |

4. |
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? -> 5 cm |

5. |
What is the equation of a circle with radius 12 units and center at (3, -2)? -> (x – 3)^{2} + (y + 2)^{2} = 144 |

6. |
What is the center of the circle with equation (x – 5)^{2} – (y + 18)^{2} = 67? -> No such circle exists |

7. |
What is the radius of the circle with equation (x – 8)^{2} + (y + 1)^{2} = 54? -> 54 units |

8. |
What is the exact circumference of the circle with equation (x + 5)^{2} + (y + 2)^{2} = 36? -> 10π units |

9. |
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? -> |

10. |
Consider the circle with radius 6 units, centered at the origin. Where is the point (-3, 4) in relation to the circle? -> Perpendicular to the circle |