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WorksheetsCircles
Total questions: 10
Worksheet time: 22mins
Name
Class
Date
1.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
2.
Write the equation at the origin with radius 6.
a)
x2 + y2 = 6
b)
x2 + y2 = 36
c)
x + y = 6
d)
x + y = 36
3.
What is the center of a circle with equation (x−4)2+y2=5 ?
a)
(-4, 0)
b)
(4, 0)
c)
(4, 1)
d)
(-4, 1)
4.
What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?
a)
4
b)
8
c)
4√2
d)
2√2
5.
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
6.
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
7.
What is the equation of the circle, with center (4,2) and radius 5 units?
a)
(x + 4)2 + (y + 2)2 = 25
b)
(x + 4)2 + (y + 2)2 = 5
c)
(x - 4)2 + (y - 2)2 = 5
d)
(x - 4)2 + (y - 2)2 = 25
8.
Which graph correctly represents
x2 + (y - 6)2 = 9
a)
A
b)
B
c)
C
d)
D
9.
Transform into the general equation or expanded equation form of a circle.
(x+2)2+y2=100
a)
x2+y2=10
b)
x2+y2+4x−96=0
c)
x2+y2−4y−96=0
d)
x2+y2−4y+96=0
10.
Find the equation of the circle that has centre (−2,−1) and passes through the point (2,0) .
a)
(x−2)2−(y−1)2=17
b)
(x−2)2+(y−1)2 =17
c)
(x+2)2+(y+1)2=17
d)
(x+2)2−(y+1)2=17
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