Practice Form G: Equations Of Circles Page 2

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Find the center and radius of each circle.
2
2
2
2
17.
x
+ y
= 25
18.
(x − − − − 3)
+ (y − − − − 5)
= 9
Center: ______________ Radius: ________
Center: ______________ Radius: ________
Find the center and radius of each circle. Then graph the circle.
2
2
2
2
(x + 2)
+ (y + 4)
= 16
(x + 1)
+ (y − − − − 1)
= 36
19.
20.
Center: ______________ Radius: ________
Center: ______________ Radius: ________
Calculate the length of the radius using the given center and the given point on the circle.
2
2
2
2
Use the center and r
to write standard form of the equation of the circle: (x − − − − h)
+ (y − − − − k)
= r
2
2
2
2
2
2
center (0, 0); point (3, 4) r
= (3-0)
+ (4-0)
= 25
center (5, 9); point (2, 9) r
= (2-5)
+ (9-9)
= ____
21.
22.
Equation: ____________________ = 25
Equation: ____________________
= ____
2
2
2
center (− − − − 4, − − − − 3); point (2, 2) ) r
= (2--4)
+ (2--3)
center (7, − − − − 2); point (− − − − 1, − − − − 6)
23.
24.
Equation: ____________________
= ____
Equation: ____________________
= ____
Write the standard equation of each circle in the diagram at the right .
25.
B
Equation: ______________________
= ____
F
26.
Equation: ______________________
= ___

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