EQUATION OF A CIRCLE WITH CENTER AND GIVEN A POINT WORKSHEET 

Find the equation of circle with the center and passes through the given point.

Problem 1 :

Center : (11, 0)

Point on Circle : (3, 0)

Solution

Problem 2 :

Center : (15, 13)

Point on Circle : (19, 13)

Solution

Problem 3 :

Center : (-5, 9)

Point on Circle : (-7, 11)

Solution

Problem 4 :

Center : (-11, 11)

Point on Circle : (-15, 17)

Solution

Problem 5 :

Find the equation of a circle where the center is at (2, -4), and the point (6, 1) rests on the circle.

Solution

Problem 6 :

Find the equation of a circle where the center is at (-2, 3), and the point (1, 4) rests on the circle.

Solution

Answer Key

1) 

Standard equation of a circle :

(x - 11)2 + (y - 0)2 = 64

General form of equation of a circle :

x2 + y2 - 22x + 57 = 0

2)

Standard equation of a circle :

(x - 15)2 + (y - 13)2 = 16

General form of equation of a circle :

x2 + y2 - 30x - 26y + 378 = 0

3)

Standard equation of a circle :

(x + 5)2 + (y - 9)2 = 68

General form of equation of a circle :

x2 + y2 + 10x - 18y + 38 = 0

4)

Standard equation of a circle :

(x + 11)2 + (y - 11)2 = 52

General form of equation of a circle :

x2 + y2 + 22x - 22y + 190 = 0

5)

Standard equation of a circle :

(x - 2)2 + (y + 4)2 = 41

General form of equation of a circle : 

x2 + y2 - 4x + 8y - 21 = 0

6)

Standard equation of a circle :

(x + 2)2 + (y - 3)2 = 10

General form of equation of a circle : 

x2 + y2 + 4x - 6y + 3 = 0

find-equation-of-circle-from-graph

Solution

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