# FIND CENTER AND RADIUS OF A CIRCLE FROM AN EQUATION WORKSHEET

Write down the center and radius of each circle below

Problem 1 :

x2 + y2 = 25

Solution

Problem 2 :

x2 + y2 = 12

Solution

Problem 3 :

(x – 3)2 + (y – 2)2 = 36

Solution

Problem 4 :

(x + 1)2 + (y – 4)2 = 10

Solution

Problem 5 :

x2 + y2 – 10x – 6y - 2 = 0

Solution

Problem 6 :

x2 + y2 + 6x + 4y + 4 = 0

Solution

Problem 7 :

The point (a, 5) lies on the circle with equation x2 + y2 = 74. Find two values for a.          Solution

Problem 8 :

The point (3, c) lies on the circle x2 + y2 – 4x + 6y + 12 = 0. Find c.

Solution

1) Center (0, 0), r = 5 units

2)  Center (0, 0), r √12 units

3)  Center = (3, 2), r = 6 units

4)  Center = (-1, 4), r = √10 units

5)  Center = (5, 3), r = 6 units

6)  Center = (-3, -2), r = 3 units

7)  a = ±7

8)  c = -3

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