FINDING EQUATION OF CIRCLE FROM CENTER AND RADIUS WORKSHEET
Problem 1 :
Find the equation of a circle with center (12, -3) and a radius of 3.
Example 2 :
Find the equation of a circle with center (-7, 11) and a radius of 9.
Problem 3 :
Given the center and radius, write the equation.
C (5, 2) and r = 7
Problem 4 :
Given the center and radius, write the equation.
C (-3, 4) and r = 2
Answer Key
1) (x - 12)2 + (y + 3)2 = 9
After expansion :
x2 + y2 - 24x + 6y + 144 = 0
2) (x + 7)2 + (y - 11)2 = 92
After expansion :
x2 + 14x + y2 - 22y + 89 = 0
3) (x - 5)2 + (y - 2)2 = 72
After expansion :
x2+ y2- 10x - 4y - 20 = 0
4) (x + 3)2 + (y - 4)2 = 22
After expansion :
x2 + 6x + y2 + 8y + 21 = 0
Write down the equations of each of the circles shown below :
Problem 1 :
Problem 2 :
Problem 3 :
Problem 4 :
Problem 5 :
Problem 6 :
Problem 7 :
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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