11-Equations of Circles

[Pages:4]Kuta Software - Infinite Geometry

Equations of Circles

Name___________________________________ Date________________ Period____

Identify the center and radius of each. Then sketch the graph.

1) (x - 1)2 + (y + 3)2 = 4

y 8

6

4

2

2) (x - 2)2 + (y + 1)2 = 16

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

3) (x - 1)2 + (y + 4)2 = 9

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

4)

2

x

+

( y

-

3)2

=

14

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

5)

2

y

+

4 x

-

20

-

2 y

=

-x2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

6)

-9

=

-

2

y

-

2

x

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

7)

9 = 2y -

2

y

-

6 x

-

2

x

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

8)

16

+

2

x

+

2

y

-

8 x

-

6 y

=

0

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Use the information provided to write the equation of each circle.

9) Center: (13, -13)

Radius: 4

10) Center: (-13, -16) Point on Circle: (-10, -16)

11) Ends of a diameter: (18, -13) and (4, -3)

12) Center: (10, -14)

Tangent to x = 13

13) Center lies in the first quadrant Tangent to x = 8, y = 3, and x = 14

14) Center: (0, 13)

Area: 25

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Equations of Circles

Name___________________________________ Date________________ Period____

Identify the center and radius of each. Then sketch the graph.

1) (x - 1)2 + (y + 3)2 = 4

y 8

6

4

2

Center: (1, -3)

Radius: 2

2) (x - 2)2 + (y + 1)2 = 16

y 8

6

4

2

Center: (2, -1)

Radius: 4

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

3) (x - 1)2 + (y + 4)2 = 9

y 8

6

4

2

Center: (1, -4)

Radius: 3

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

4)

2

x

+

( y

-

3)2

=

14

y 8

6

4

2

Center: (0, 3)

Radius: 14

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

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Worksheet by Kuta Software LLC

5)

2

y

+

4 x

-

20

-

2 y

=

-x2

y 8

6

4

2

Center: (-2, 1)

Radius: 5

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

6)

-9

=

-

2

y

-

2

x

y 8

6

4

2

Center: (0, 0)

Radius: 3

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

7)

9 = 2y -

2

y

-

6 x

-

2

x

y 8

6

4

2

Center: (-3, 1)

Radius: 1

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

8)

16

+

2

x

+

2

y

-

8 x

-

6 y

=

0

y 8

6

4

2

Center: (4, 3)

Radius: 3

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Use the information provided to write the equation of each circle.

9) Center: (13, -13)

Radius: 4

10) Center: (-13, -16) Point on Circle: (-10, -16)

(x - 13)2 + (y + 13)2 = 16

(x + 13)2 + (y + 16)2 = 9

11) Ends of a diameter: (18, -13) and (4, -3) (x - 11)2 + (y + 8)2 = 74

12) Center: (10, -14)

Tangent to x = 13

(x - 10)2 + (y + 14)2 = 9

13) Center lies in the first quadrant Tangent to x = 8, y = 3, and x = 14

(x - 11)2 + (y - 6)2 = 9

14) Center: (0, 13)

Area: 25

2

x

+

( y

-

13)2

=

25

Create your own worksheets like this one with Infinite Geometry. Free trial available at

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Worksheet by Kuta Software LLC

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