Chapter 10 Circles - 10.6 Equations Of Circles Worksheet Page 5
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5Page 5 of 5
2
2
Sketch the circle whose equation is x
+ y
= 16. Then
47.
T
RANSLATIONS
sketch the image of the circle after the translation (x, y) ˘ (x º 2, y º 4).
What is the equation of the image?
A circle has a center ( p, q) and is tangent to the
48.
W
E
RITING AN
QUATION
x-axis. Write the standard equation of the circle.
Test
What is the standard form of the equation of a circle
49.
M
C
ULTIPLE
HOICE
with center (º3, 1) and radius 2?
Preparation
¡
¡
2
2
2
2
(x º 3)
+ (y º 1)
= 2
(x + 3)
+ (y º 1)
= 2
A
B
¡
¡
2
2
2
2
(x º 3)
+ (y º 1)
= 4
(x + 3)
+ (y º 1)
= 4
C
D
50.
M
C
The center of a circle is (º3, 0) and its radius is 5.
ULTIPLE
HOICE
Which point does not lie on the circle?
¡
¡
¡
¡
¡
(2, 0)
(0, 4)
(º3, 0)
(º3, º5)
(º8, 0)
A
B
C
D
E
Challenge
›A and ›B are externally tangent. Suppose you know
51.
C
T
RITICAL
HINKING
the equation of ›A, the coordinates of the single point of intersection of ›A
and ›B, and the radius of ›B. Do you know enough to find the equation of
›B? Explain.
x y
x y
U
A
Find the missing coordinate of the center of the circle
SING
LGEBRA
with the given characteristics.
52.
The center is (1, b), the radius is 3, and a point on the circle is (º2, 0).
E
C
XTRA
HALLENGE
53.
The center is (º3, b), the radius is 5, and a point on the circle is (2, º2).
M
R
IXED
EVIEW
I
Q
What kind(s) of quadrilateral could ABCD
DENTIFYING
UADRILATERALS
be? ABCD is not drawn to scale.
(Review 6.6)
54.
55.
56.
B
B
A
B
C
A
A
C
D
D
D
C
Æ „
Write the component form of vector PQ
. Use the component
V
ECTORS
Æ „
form to find the magnitude of PQ
to the nearest tenth.
(Review 9.7)
57.
P = (0, 0), Q = (º6, 7)
58.
P = (3, º4), Q = (º11, 2)
P = (º6, º6), Q = (9, º5)
P = (5, 6), Q = (º3, 7)
59.
60.
A
B
Does P lie on the bisector of ™A? Explain your
NGLE
ISECTORS
reasoning.
(Review 5.1)
61.
62.
A
10
A
P
9
9
12
P
640
Chapter 10 Circles
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