FIND THE EQUATION OF A CIRCLE FROM A GRAPH WORKSHEET

Write down the equations of each of the circles shown below :

Problem 1 :

eqofcirclefromgraphq1

Solution

Problem 2 :

eqofcirclefromgraphq2

Solution

Problem 3 :

eqofcirclefromgraphq3

Solution

Problem 4 :

eqofcirclefromgraphq4

Solution

Problem 5 :

eqofcirclefromgraphq5

Solution

Problem 6 :

eqofcirclefromgraphq6

Solution

Problem 7 :

eqofcirclefromgraphq7

Solution

Answer Key

1)  x2 + y2 = 4

2)  (x – 1)2 + (y – 0)2 = 1

After expansion :

x2 + y2 – 2x = 0

3)  (x – 3)2 + (y – 3)2 = 32

After expansion :

x2 + y2 – 6x – 6y + 9 = 0.

4)  (x + 1)2 + (y + 1)2 = (-1)2

After expansion :

x2 + y2 + 2x + 2y + 1 = 0.

5)  (x – 3)2 + (y + 1)2 = 52

After expansion :

x2 + y2 - 6x + 2y - 15 = 0.

6)  (x – 0)2 + (y - 6)2 = 62

After expansion :

x2 + y2 - 12y = 0

7)  (x – 4)2 + (y - 5)2 = 42

After expansion :

x2  – 8x + y2 - 10y + 25 = 0

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