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Name _______________________________________ Date __________________ Class __________________
Practice C
Circles in the Coordinate Plane
1. Points A, B, and C lie on the circumference of a circle. AB is
twice the radius of the circle. Find mACB.
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2. Points A, B, and C lie on the circumference of a circle. The center of
the circle lies in the exterior of ABC. Classify ABC by its angles.
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Give answers in simplest radical form if necessary.
3. The points X(3, 4) and Y(9, 1) lie on the circumference of a circle. There
is exactly 60° of arc between X and Y. Find the radius of the circle.
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4. Find the coordinates of all possible centers of the circle in Exercise 3.
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5. Find the intersection point(s) of the circle (x  2)2  y2  25
and the line 2x  y  3.
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6. Find the intersection point(s) of the circle (x  2)2  y2  25
and the line y 
4
3
x
17
3
.
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7. Describe the relationship between the circle and the line in Exercise 6.
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8. Find the intersection point(s) of the circle (x  2)2  y2  25
and the circle x2  y2  9.
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9. Describe the relationship between the two circles in Exercise 8.
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