Chapter 10 Circles - 10.6 Equations Of Circles Worksheet Page 3
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2
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5Page 3 of 5
G
P
UIDED
RACTICE
Vocabulary Check
1.
The standard form of an equation of a circle is
?
.
2
2
Concept Check
Describe how to graph the circle (x º 3)
+ (y º 4)
= 9.
2.
Skill Check
Give the coordinates of the center and the radius. Write an equation of the
circle in standard form.
3.
4.
5.
y
y
y
4
1
x
2
1
x
1
1
x
P(º1, 3) is on a circle whose center is C(0, 0). Write an equation of ›C.
6.
P
A
RACTICE
PPLICATIONS
AND
U
S
E
Give the center and radius of the circle.
SING
TANDARD
QUATIONS
S
H
TUDENT
ELP
2
2
2
2
Extra Practice
7.
(x º 4)
+ (y º 3)
= 16
8.
(x º 5)
+ (y º 1)
= 25
to help you master
2
2
2
2
x
+ y
= 4
(x + 2)
+ (y º 3)
= 36
9.
10.
skills is on p. 822.
2
2
1
3
1
2
2
11.
(x + 5)
+ (y + 3)
= 1
12.
x º
+ y +
=
2
4
4
U
G
Give the coordinates of the center, the radius, and the
SING
RAPHS
equation of the circle.
13.
14.
15.
y
y
y
1
1
1
x
2
x
1
x
1
16.
17.
18.
y
y
y
(0.5, 1.5)
3
1
2
3
x
2
x
x
3
S
H
TUDENT
ELP
HOMEWORK HELP
W
E
Write the standard equation of the circle with the
RITING
QUATIONS
Example 1: Exs. 13–22
given center and radius.
Example 2: Exs. 23–26
Example 3: Exs. 27–40
19.
center (0, 0), radius 1
20.
center (4, 0), radius 4
Example 4: Exs. 33–42
21.
center (3, º2), radius 2
22.
center (º1, º3), radius 6
638
Chapter 10 Circles
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