ID: 1
Algebra 2
Name___________________________________
Conic Sections: Circles Wkst/Study Guide
Date________________ Period____
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Use the information provided to write the standard form equation of each circle.
1) Center: (7, −1)
Radius: 2
2
2) Center: (−5, −8)
Radius: 3
2
2
3) x + y = 36
Translated 2 right, 5 down
2
4) x + y = 256
Translated 2 left, 3 up
5)
6)
y
y
7
1
6
−8
−7
−6
−5
−4
−3
−2
−1
1 x
5
−1
4
−2
3
−3
2
−4
1
−5
−4
−3
−2
−1
1
−6
−1
−7
−2
2
3
4
5
6 x
−3
Identify the center and radius of each.
2
2
7) ( x − 1) + ( y + 11) = 25
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2
2
8) ( x + 13) + ( y − 6) = 24
-1-
Worksheet by Kuta Software LLC
Identify the center and radius of each. Then sketch the graph.
2
2
2
9) ( x − 1) + ( y + 3) = 16
2
10) ( x + 1) + ( y + 2) = 4
y
−8
−6
−4
y
8
8
6
6
4
4
2
2
−2
2
4
6
8 x
−8
−6
−4
−2
2
−2
−2
−4
−4
−6
−6
−8
−8
4
6
8 x
Use the information provided to write the standard form equation of each circle.
11) Center: (−12, 5)
Point on Circle: (−8, 1)
12) Center: (1, 10)
Point on Circle: (−3, 7)
Use prior knowledge of circles to find the equation of the circle that has the following information.
13) Center: (2, 14)
Radius: 4
14) Center: (6, −1)
Area: 100π
15) Center: (−3, 6)
Circumference: 18π
16) Ends of a diameter: (12, 2) and (8, 8)
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-2-
Worksheet by Kuta Software LLC
Answers to Conic Sections: Circles Wkst/Study Guide (ID: 1)
2
2
2
2
2
1) ( x − 7) + ( y + 1) = 4
2) ( x + 5) + ( y + 8) = 9
2
2
2
2
4) ( x + 2) + ( y − 3) = 256
5) ( x + 4) + ( y + 3) = 9
9)
7) Center: (1, −11)
8) Center: (−13, 6)
Radius: 5
Radius: 2 6
2
3) ( x − 2) + ( y + 5) = 36
2
2
6) ( x − 1) + ( y − 2) = 16
y
Center: (1, −3)
Radius: 4
8
6
4
2
−8 −6 −4 −2
2
4
6
8 x
−2
−4
−6
−8
10)
2
y
8
6
2
11) ( x + 12) + ( y − 5) = 32
Center: (−1, −2)
Radius: 2
4
2
−8 −6 −4 −2
2
−2
4
6
8 x
−4
−6
−8
12) ( x − 1) 2 + ( y − 10) 2 = 25
2
2
15) ( x + 3) + ( y − 6) = 81
13) ( x − 2) 2 + ( y − 14) 2 = 16
2
2
16) ( x − 10) + ( y − 5) = 13
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-3-
14) ( x − 6) 2 + ( y + 1) 2 = 100
Worksheet by Kuta Software LLC