Name: _______________________________
Honors Algebra II
Checkpoint: Equations of Circles
For each question, show all work and write down your answer; no work = no credit.
_____ 1. What is the center and radius of the following
circle, given its equation?
(x + 3)2 + (y – 2)2 = 4
A. center: (-3, 2)
radius: 4
B. center: (-3, -2)
radius: 2
C. center: (-3, 2)
radius: 2
D. center: (-3, -2)
radius: 4
_____ 2. If a circle has a center of (5, -1) and the point
(2, 4) lies on the circle, which equation fits this circle?
A. (x – 5)2 + (y – 1)2 = 20
B. (x – 5)2 + (y + 1)2 = 34
C. (x – 5)2 + (y + 1)2 = 18
D. (x – 5)2 + (y + 1)2 = 32
Name: _______________________________
Honors Algebra II
Checkpoint: Equations of Circles
For each question, show all work and write down your answer; no work = no credit.
_____ 1. What is the center and radius of the following
circle, given its equation?
(x + 3)2 + (y – 2)2 = 4
A. center: (-3, 2)
radius: 4
B. center: (-3, -2)
radius: 2
C. center: (-3, 2)
radius: 2
D. center: (-3, -2)
radius: 4
_____ 2. If a circle has a center of (5, -1) and the point
(2, 4) lies on the circle, which equation fits this circle?
A. (x – 5)2 + (y – 1)2 = 20
B. (x – 5)2 + (y + 1)2 = 34
C. (x – 5)2 + (y + 1)2 = 18
D. (x – 5)2 + (y + 1)2 = 32
_____ 3. What is the center and radius of the following
circle?
x2 – 9y + y2 + 12x + 10 = 0
_____ 4. Given the equation of the circle
x2 – 6x + 9 + y2 – 2y + 1 = 25,
which of the following statements are true?
I. (1, -1) lies inside the circle.
II. (6, 5) lies on the circle.
III. (4, -4) lies outside the circle.
A. center: (-6, 4.5)
radius: √46.25
C. center: (-6, 4.5)
radius: √56.25
B. center: (-12, 9)
radius: √56.25
D. center: (-6, 4.5)
radius: √51.25
_____ 3. What is the center and radius of the following
circle?
x2 – 9y + y2 + 12x + 10 = 0
A. I and II
B . II only
C. II and III only
D. I, II, and III
_____ 4. Given the equation of the circle
x2 – 6x + 9 + y2 – 2y + 1 = 25,
which of the following statements are true?
I. (1, -1) lies inside the circle.
II. (6, 5) lies on the circle.
III. (4, -4) lies outside the circle.
A. center: (-6, 4.5)
radius: √46.25
C. center: (-6, 4.5)
radius: √56.25
B. center: (-12, 9)
radius: √56.25
D. center: (-6, 4.5)
radius: √51.25
A. I and II
B . II only
C. II and III only
D. I, II, and III