WorksheetsEquations of Circles
Total questions: 15
Worksheet time: 25mins
Name
Class
Date
1.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
2.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
3.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
4.
Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3
a)
x2+y2=3
b)
x2+y2=6
c)
x2+y2=9
5.
Which graph corresponds to
(x)2+ (y-6)2=9
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
6.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
7.
Which graph corresponds to
(x-4)2+ (y+4)2=25
a)
A
b)
B
c)
C
d)
D
8.
Which graph corresponds to
(x+2)2+ (y-3)2=36
a)
A
b)
B
c)
C
d)
D
9.
In order to convert from general form to center-radius form, you must ___________.
a)
Multiply out
b)
expand
c)
factor
d)
complete the square
10.
How can we find the general form of a circle?
a)
divide out the center-radius form
b)
multiply out the center-radius form
c)
factor out the center-radius form
d)
add up the center-radius form
11.
What is the radius of the given circle:
x²+y²-10x+8y-23=0?
x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
12.
Determine the center and radius: x2 + y2 + 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
13.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
a)
(x-3)2 + (y+6)2 = 25
b)
(x+3)2 + (y-6)2 = 25
c)
(x-3)2 + (y+6)2 = 45
d)
(x+3)2 + (y-6)2 = 5
14.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
15.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
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