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Circles Pre-test

Total questions: 26

Worksheet time: 42mins

Name
Class
Date
1.
a)
Diameter is: DE
b)
Diameter is: BA
c)
Diameter is: BC
d)
Diameter is: DC
2.
Name a secant.
a)
BD
b)
DG
c)
HF
d)
AF
3.

What line segments are radi?

a)

DE\overline{DE} and BC\overline{BC}

b)

BC\overline{BC}

c)

BC\overline{BC} , BA\overline{BA} and BD\overline{BD}

d)

BE\overline{BE} , DC  \overline{DC}\ \ and AD\overline{AD}

4.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
5.

Which of the following represents a minor arc? Check all that apply

a)

arc ACE

b)

arc BC

c)

arc BDE

d)

arc EA

6.

Which of the following represents a major arc? Check all that apply

a)

arc ACE

b)

arc ABC

c)

arc BCE

d)

arc EA

7.
a)
secant
b)
chord
c)
tangent line
d)
diameter
8.

Find  mEDFm\angle EDF . Type in the numeric value.

(a)  

9.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
10.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
11.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
12.

Which line is a tangent line from the picture?

a)

DG

b)

JB

c)

CD

d)

HF

13.

Find the angle indicated.

a)

52

b)

103

c)

63

d)

117

14.

Solve for [x]. Assume that lines which appear tangent are tangent.

a)

8

b)

5

c)

4

d)

9

15.
a)

30

b)

102

c)

33

d)

81

16.

Find m∠TSU

a)

54˚

b)

43˚

c)

97˚

d)

180˚

17.

Find the m∠PQR

a)

77˚

b)

110˚

c)

257˚

d)

128˚

18.

Which answer correctly set up the equation to solve for x?

a)

4x9582=12x\frac{4x-9-58}{2}=12x

b)

12x+58 =4x912x+58\ =4x-9

c)

12x+58 = 4x912x+58\ =\ 4x-9

d)

12x582= 4x9\frac{12x-58}{2}=\ 4x-9

19.

Arc AD = 19x-49 and Arc DC=5x+37.

How would you set up an equation to find x?

a)

19x49 + 5x+37=9019x-49\ +\ 5x+37=90

b)

19x49 = 5x+3719x-49\ =\ 5x+37

c)

19x49 + 5x+37=18019x-49\ +\ 5x+37=180

d)

19x49  5x+372\frac{19x-49\ -\ 5x+37}{2}

20.
Write 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
21.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
22.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
23.

Write the equation of the circle

a)

(x+1)2+(y5)2=4\left(x+1\right)^2+\left(y-5\right)^2=4

b)

(x1)2+(y5)2=4\left(x-1\right)^2+\left(y-5\right)^2=4

c)

(x5)2+(y1)2=4\left(x-5\right)^2+\left(y-1\right)^2=4

d)

(x1)2+(y+5)2=4\left(x-1\right)^2+\left(y+5\right)^2=4

24.
Find the area of the sector.
a)
A
b)
B
c)
C
d)
D
25.
Find the area of the shaded sector.
a)
37.70 cm2
b)
6.28 cm2
c)
28.27 cm2
d)
9.42 cm2
26.
Find the arc length.
a)
37.70 cm
b)
6.28 cm
c)
28.27 cm
d)
9.42 cm