CIRCLES ON COORDINATE PLANE REVIEW #2
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1. Determine the center and radius of the given circles.
a)  x  2    y  2   13
Center (_____ , _____)
Radius = _______
b)  x  8  36   y  11
2
Center (_____ , _____)
Radius = _______
c)  y  9    x  1  25
Center (_____ , _____)
Radius = _______
d)  x  1   y  2   16
Center (_____ , _____)
Radius = _______
2
2
2
2
2
2
2
2. Determine the equation of the circle.
A
Equation of Circle C
____________________________
D
C
B
3. Determine the equation of circle C.
a) Radius = 2 cm
C (0,6)
b) Radius = 11 cm
C (1,1)
____________________________
____________________________
c) Radius = 10 cm
d) Radius = 4 cm
C (0,0)
____________________________
C (-8,5)
____________________________
CIRCLES ON COORDINATE PLANE REVIEW #2
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4. Graph the following circles.
a)  x  5    y  4   16
2
2
b)  x  5    y  5   4
2
2
5. Determine the center and radius of the given circles by completing the square.
a) x 2  y 2  9 x  7 y 
14
4
b) x 2  10 x  y 2  4 x  15
______
Center (_____ , _____)Radius = ______
Center (_____ , _____)
Radius =
CIRCLES ON COORDINATE PLANE REVIEW #2
6. Graph the following.
a) x 2  y 2  4 x  16 y  64  0
b) x 2  y 2  4 x  8 y  5  0
7. Determine the midpoint of the following segment.
A (1,-1) B (3,-11)
8. Determine the distance from A to B.
A (-2,-3) B (-6,4)
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CIRCLES ON COORDINATE PLANE REVIEW #2
9. Given circle C, C(4,-5) and point D(10,3) on the circle, determine the equation of the circle.
10. Given circle C, C(0,-5) and point D(-1,-4) on the circle, determine the equation of the circle.
11. Given endpoints of diameter AB , A(-1,-3) and B(5,3), determine the center, the radius and
the equation of the circle.
Center = ( _____ , _____ )
Radius = __________
Equation of the circle
____________________________
12. Determine if ABC is an equilateral triangle, if it has
vertices, A(5,6), B(1,5) and C(4,2).
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CIRCLES ON COORDINATE PLANE REVIEW #2
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13. Circle C, centered at C(-1,-3) has a chord AB with endpoints of A(3,-2) and B(2,-6).
Determine the midpoint of the chord and the distance that the chord is from the center of the
circle.
Midpoint = ( ______ , ______ )
Distance = _____________ (2
dec.)
14. Given points A (2,3) and B (5,y), determine the value(s) of y if AB is 5 cm.