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WorksheetsDHS HG Circles
Total questions: 40
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
2.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
3.
What is the radius?
a)
18
b)
72
c)
38
d)
14
4.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
5.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?
radius of a cookie is 5 inches. What is the cookie’s
circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in
6.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
7.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
8.
What is the center and radius of this circle?
(x + 6)2 + (y - 3)2 = 36
(x + 6)2 + (y - 3)2 = 36
a)
Center: (-6, -3)
radius = 36
radius = 36
b)
Center: (6, -3)
radius = 6
radius = 6
c)
Center: (6, 3)
radius = 18
radius = 18
d)
Center: (-6, 3)
radius = 6
radius = 6
9.
a)
(x - 1)2 + (y + 2)2 = 2
b)
x2 + (y - 2)2 = 4
c)
x2 + (y + 2)2 = 4
d)
x2 + (y + 2)2 = 2
10.
a)
(x + 3)2 + (y - 1)2 = 9
b)
(x - 3)2 + (y + 1)2 = 9
c)
(x - 3)2 + (y + 1)2 = 3
d)
(x + 3)2 + (y - 1)2 = 3
11.
a)
(x - 2)2 + (y - 1)2 = 4
b)
(x + 2)2+(y + 1)2=16
c)
(x + 2)2 + (y - 1)2 = 4
d)
(x + 2)2+(y - 1)2=16
12.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
13.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
14.
What is the coordinates of the center and the radius of the circle with equation:
(x - 5)2 + (y + 3)2 = 36 ?
(x - 5)2 + (y + 3)2 = 36 ?
a)
Center (5,-3)
Radius = 6 units
Radius = 6 units
b)
Center (-5,3)
Radius = 6 units
Radius = 6 units
c)
Center (-5,3)
Radius = 36 units
Radius = 36 units
d)
Center (5,-3)
Radius = 36 units
Radius = 36 units
15.
Find the radius if the endpoints of the diameter are (-6, 5) and (-2, -3).
a)
5.52
b)
11.05
c)
4.47
d)
8.94
16.
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
17.
Find the value of x.
a)
31,3
b)
8
c)
16.3
d)
-8
18.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
19.
Use chords to solve for x
a)
x = 3 cm
b)
x = 4 cm
c)
x = 5 cm
d)
x = 6 cm
20.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
21.
a)
10
b)
11
c)
12
d)
13
22.
Find x.
a)
4.4
b)
8.3
c)
9.4
d)
8.8
23.
Solve for x.
a)
3.6
b)
9.2
c)
11.5
d)
14.3
24.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
25.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
26.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
27.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
28.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
32.
What is the correct setup for x?
a)
(x)(30) = (21)(20)
b)
(x)(21)=(20)(30)
33.
What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Centre (4,3)
Radius = 5 units
Radius = 5 units
b)
Centre (4,3)
Radius = 25 units
Radius = 25 units
c)
Centre (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Centre (-4,-3)
Radius = 5 units
Radius = 5 units
34.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16 ?
(x + 2)2 + (y + 5)2 = 16 ?
a)
Centre (2,5)
Radius = 16 units
Radius = 16 units
b)
Centre (2,5)
Radius = 4 units
Radius = 4 units
c)
Centre (-2,-5)
r = 16 units
r = 16 units
d)
Centre (-2,-5)
Radius = 4 units
Radius = 4 units
35.
What is the coordinates of the centre and the radius of the circle with equation:
(x + 7)2 + (y - 6)2 = 64 ?
(x + 7)2 + (y - 6)2 = 64 ?
a)
Centre (7,-6)
Radius = 8 units
Radius = 8 units
b)
Centre (-7,6)
Radius = 64 units
Radius = 64 units
c)
Centre (-7,6)
Radius = 8 units
Radius = 8 units
d)
Centre (7,-6)
Radius = 64 units
Radius = 64 units
36.
What is the equation of the circle, with centre (3,8) and radius 4 units?
a)
(x - 3)2 + (y - 8)2 = 4
b)
(x - 3)2 + (y - 8)2 = 16
c)
(x + 3)2 + (y + 8)2 = 16
d)
(x + 3)2 + (y + 8)2 = 4
37.
What is the equation of the circle, with centre (7,-3) and radius 8 units?
a)
(x - 7)2 + (y + 3)2 = 8
b)
(x - 7)2 + (y + 3)2 = 64
c)
(x + 7)2 + (y - 3)2 = 8
d)
(x + 7)2 + (y - 3)2 = 64
38.
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
(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)
39.
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
40.
Write the equation of a circle with center
(7, 0) with radius 3.
(7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
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