Regents Exam Questions G.G.73: Equations of Circles
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Name: __________________________________
G.G.73: Equations of Circles: Find the center and radius of a circle, given the
equation of the circle in center-radius form
1 What are the coordinates of the center of the circle represented by the equation
?
1)
2)
3)
4)
2 What are the center and the radius of the circle whose equation is
1) center =
; radius = 6
2) center =
; radius = 6
3) center =
; radius = 36
4) center =
; radius = 36
3 A circle has the equation
the length of its radius?
1) (–1,3) and 4
2) (1,–3) and 4
3) (–1,3) and 16
4) (1,–3) and 16
4 In a circle whose equation is
of its radius are
1)
and
2)
and
3)
and
4)
and
. What are the coordinates of its center and
, the coordinates of the center and length
5 What are the coordinates of the center and the length of the radius of the circle whose
equation is
?
1)
and 16
2)
and 16
3)
and 4
4)
and 4
6 A circle has the equation
the length of its radius?
1)
and 6
2)
and 6
3)
and 36
4)
and 36
. What are the coordinates of its center and
Regents Exam Questions G.G.73: Equations of Circles
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Name: __________________________________
7 What are the center and the radius of the circle whose equation is
1)
and 16
2)
and 16
3)
and 4
4)
and 4
8 The equation of a circle is
1) center =
; radius = 4
2) center =
; radius = 16
3) center =
; radius = 4
4) center =
; radius = 16
. What are the center and radius of the circle?
9 The center and radius of the given circle
1)
2)
3)
4)
are:
10 A circle is represented by the equation
center of the circle and the length of the radius?
1)
2)
3)
4)
11 The equation of a circle is
its radius are
1)
and 4
2)
and 4
3)
and
4)
and
12 The equation of a circle is
this circle and the length of its radius?
1)
and 16
2)
and 16
3)
and
4)
and
?
. What are the coordinates of the
. The coordinates of its center and the length of
. What are the coordinates of the center of
Regents Exam Questions G.G.73: Equations of Circles
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Name: __________________________________
13 Circle O is represented by the equation
center and the length of the radius of circle O are
1)
and
2)
and 24
3)
and
4)
and 24
. The coordinates of the
14 What are the center and radius of a circle whose equation is
1) center =
; radius = C
2) center =
; radius = C
3) center =
; radius =
4) center =
; radius =
15 The center of a circle represented by the equation
Quadrant
1) I
2) II
3) III
4) IV
16 A circle with the equation
1) I
2) II
3) III
4) IV
?
is located in
does not include points in Quadrant
17 Which equation of a circle will have a graph that lies entirely in the first quadrant?
1)
2)
3)
4)
18 Which set of equations represents two circles that have the same center?
1)
and
2)
and
3)
and
4)
and
Regents Exam Questions G.G.73: Equations of Circles
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Name: __________________________________
19 Students made four statements about a circle.
A: The coordinates of its center are
.
B: The coordinates of its center are
.
C: The length of its radius is
.
D: The length of its radius is 25.
If the equation of the circle is
1) A and C
2) A and D
3) B and C
4) B and D
20 A circle has the equation
circle and the length of the circle's radius.
, which statements are correct?
. Find the coordinates of the center of the
Regents Exam Questions G.G.73: Equations of Circles
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ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
3
1
1
3
4
2
4
1
4
4
4
4
1
14
15
16
17
18
19
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
081412ge
3
4
4
1
4
3
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
060506b
080911ge
080404b
081502ge
011403ge
011203ge
061114ge
081009ge
fall9917b
060922ge
061422ge
011318ge
REF:
REF:
REF:
REF:
REF:
fall0814ge
010620b
011426ge
061223ge
061319ge
REF: 061515ge
20 ANS:
center:
; radius:
REF: 081333ge