EQUATION OF CIRCLE WITH GIVEN INFORMATION WORKSHEET

Problem 1 :

Ends of diameter : (-17, -9) and (-19, -9).

Solution

Problem 2 :

Ends of diameter : (-3, 11) and (3, -13).

Solution

Problem 3 :

Center : (-15, 3√7), Area : 2π

Solution

Problem 4 :

Center : (-11, -14), Area : 16π

Solution

Problem 5 :

Center : (-5, 12), Circumference : 8π

Solution

Problem 6 :

Center : (15, 14), Circumference : 2π√15

Solution

Problem 7 :

Center : (2, -5), Point on circle : (-7, -1)

Solution

Problem 8 :

Center : (14, 17), Point on circle : (15, 17)

Solution

Problem 9 :

Center : (-11, -8), Radius : 4

Solution

Problem 10 :

Center : (-6, -15), Radius : √5

Solution

Problem 11 :

center-of-a-circle-q1

Solution

Problem 12 :

center-of-a-circle-q2

Solution

Answer Key

1)  (x + 18)2 + (y + 9)2 = 1

2)   x2 + (y + 1)2 = 153

3) (x + 15)2 + (y - 3√7)2  = 2

4) (x + 11)2 + (y + 14)2  = 16

5)  (x + 5)2 + (y - 12)2  = 16

6)  (x - 15)2 + (y - 14)2  = 15

7) (x - 2)2 + (y + 5)2  = 97

8) (x - 14)2 + (y - 17)2  = 1

9) (x + 11)2 + (y + 8)2 = 16

10) (x + 6)2 + (y + 15)2 = 5

11)   x2 + (y - 3)2 = 9

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

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