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Circles True or False

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 perpendicular to OP and may be perpendicular 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? -> (5, -18)
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

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