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Worksheet by Kuta Software LLC

Pre Calculus

Circles Notes

Name___________________________________

Date________________ Period____

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-1-

Identify the center and radius of each.

1) (x - 13

2 )2

+ (y - 217)2 = 13

2) (x + 6)2 + (y - 12)2

= 49

Identify the center and the radius. Then graph the circle.

3) 4x2 + 32y + 52 = -4y2 - 16x

x

y

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

-8

-6

-4

-2

2

4

6

8

4) -2y2 - 12x = 2x2 - 8y + 8

x

y

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

-8

-6

-4

-2

2

4

6

8

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Worksheet by Kuta Software LLC

-2-

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

5) Center: (-9, -11

2 )Circumference: 10p

6) Center: (8, 15)Point on Circle: (7, 13)

7) Center lies in the third quadrantTangent to the x-axis, x = 1, and y = -6

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Worksheet by Kuta Software LLC

-3-

8) Three points on the circle: (16, 1), (8, -9), and (-2, -1)

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Worksheet by Kuta Software LLC

Pre Calculus

Circles Notes

Name___________________________________

Date________________ Period____

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-1-

Identify the center and radius of each.

1) (x - 13

2 )2

+ (y - 217)2 = 13

Center: (13

2, 217)

Radius: 13

2) (x + 6)2 + (y - 12)2

= 49

Center: (-6, 12)Radius: 7

Identify the center and the radius. Then graph the circle.

3) 4x2 + 32y + 52 = -4y2 - 16x

x

y

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

-8

-6

-4

-2

2

4

6

8

Center:(-2,-4) radius 7

4) -2y2 - 12x = 2x2 - 8y + 8

x

y

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

-8

-6

-4

-2

2

4

6

8

Center:(-3,2) radius 3

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Worksheet by Kuta Software LLC

-2-

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

5) Center: (-9, -11

2 )Circumference: 10p

(x + 9)2 + (y +

11

2 )2

= 25

6) Center: (8, 15)Point on Circle: (7, 13)

(x - 8)2 + (y - 15)2

= 5

7) Center lies in the third quadrantTangent to the x-axis, x = 1, and y = -6

(x + 2)2 + (y + 3)2

= 9

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Worksheet by Kuta Software LLC

-3-

8) Three points on the circle: (16, 1), (8, -9), and (-2, -1)

(x - 7)2 + y2

= 82