Practice Form G: Equations Of Circles
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1
2Name
Per-Seat #
Date
12.5
Practice
Form G:
Equations of Circles
2
2
2
Standard form of a Circle’s Equation with center (h, k) and radius r is
(x − − − − h)
+ (y − − − − k)
= r
Given the standard form of the equation of the circle, name its center and radius.
2
2
2
2
1.
x
+ y
= 36
2.
(x − − − − 2)
+ (y − − − − 7)
= 49
Center: ______________ Radius: ________
Center: ______________ Radius: ________
2
2
2
2
(x + 1)
+ (y + 6)
= 16
(x + 3)
+ (y − − − − 11)
= 12
3.
4.
Center: ______________ Radius: ________
Center: ______________ Radius: ________
Write the equation of each circle, given its center and radius, in standard form.
center (0, 0); r = 7
center (4, 3); r = 8
center (5, 3); r = 2
5.
6.
7.
Equation: ____________________
Equation: _____________________
Equation: ____________________
1
center (− − − − 5, 4); r =
center (− − − − 2, − − − − 5); r =
center (− − − − 1, 6); r = 5
8.
9.
2
10.
2
Equation: ____________________
Equation: _____________________
Equation: ____________________
Write the equation of each circle, given its graph, in standard form.
12.
13.
11.
Equation: _____________________
Equation: ____________________
Equation: ______________________
14.
15.
16.
Equation: ______________________
Equation: _____________________
Equation: ____________________
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