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Geometry Review #5 Circles Basics

Total questions: 46

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

If you multiply π × d then you will get the...

a)

radius

b)

diameter

c)

circumference

d)

area

e)

perimeter

2.

If you multiply π × r × r then you will get the...

a)

radius

b)

diameter

c)

circumference

d)

area

e)

perimeter

3.
If you multiply 2 × r  then you will get the...
a)
radius
b)
diameter
c)
circumference
d)
area
4.

If you multiply ½ × d then you will get the...

a)

radius

b)

diameter

c)

circumference

d)

area

e)

perimeter

5.

If a circle has a radius of 5 ft. then which formula below is correct for the circumference?

a)

π(5)

b)

π(10)

c)

π(5)(5)

d)

π(5)(10)

e)

π(10)(10)

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)

π in

e)

5π in

7.

If the circumference of a circle is 22 π ft, what is the radius?

a)

22 ft

b)

11ft

c)

π ft

d)

22π ft

e)

11π ft

8.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

e)

DC

9.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

e)

AM

10.

Find the measure of angle ABD.

a)

14 degrees

b)

51 degrees

c)

37 degrees

d)

65 degrees

e)

28 degrees

11.

Solve for x.

a)

140

b)

89

c)

51

d)

38

e)

76

12.

Name a radius.

a)

AF

b)

CD

c)

HF

d)

DG

e)

BH

13.

Half a circle or an arc that is 180 degrees

a)

Major Arc

b)

Minor arc

c)

Semicircle

d)

Circle

e)

Circumferencs

14.

A line segment on the interior of a circle with endpoints on the circle

a)

Radius

b)

Diameter

c)

Secant

d)

Chord

e)

Tangent

15.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

e)

Circumscribed Angle

16.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

e)

Circumscribed Angle

17.

What is the measure of arc KL?

a)

108

b)

126

c)

110

d)

26

e)

54

18.

To find an angle with all points on the circle you use which of the following.

a)

arc/2

b)

(arc+arc)/2

c)

(arc-arc)/2

d)

arc

e)

not enough information

19.

To find an angle outside the circle you use which of the following.

a)

arc/2

b)

(arc+arc)/2

c)

(arc-arc)/2

d)

arc

e)

2arc

20.

To find an angle inside the circle you use which of the following.

a)

arc/2

b)

(arc+arc)/2

c)

(arc - arc)/2

d)

arc

e)

2 arc

21.

Find the value of x.

a)

x = 17

b)

x = 16

c)

x = 29.67

d)

x = 18

e)

x = 8.5

22.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?"

a)

15

b)

6

c)

-24

d)

14

e)

7.9

23.

Find the radius r

a)

2

b)

3

c)

4

d)

5

e)

6

24.
a)

A

b)

B

c)

C

d)

D

e)

Not enough information

25.
a)

A

b)

B

c)

C

d)

D

e)

Not enough information

26.
a)

A

b)

B

c)

C

d)

D

e)

Not enough information

27.

What is the value for x?

a)

x=5

b)

x=7

c)

x=10.7777

d)

x=12.888

e)

x=25

28.

Find a and b.

a)

a=74 degrees

b=93 degrees

b)

a=93 degrees

b=74 degrees

c)

a=87 degrees

b=106 degrees

d)

a=106 degrees

b=87 degrees

e)

None of the above

29.
a)

A. 126

b)

B. 132

c)

C. 153

d)

D. 252

30.
a)

A. 74

b)

B. 102

c)

C. 106

d)

D. 112

31.
a)

m<QTR= 95o

b)

m<QTR= 118o

c)

m<QTR=45o

d)

m<QTR= 62o

e)

m<QTR= 90o

32.
a)

A. 110

b)

B. 118

c)

C. 124

d)

D. 172

33.
a)

x = 5

b)

x = 6

c)

x = 7

d)

x = 8

e)

not enough information

34.
a)

42 inches

b)

46 inches

c)

50 inches

d)

64 inches

e)

not enough information

35.
a)

17

b)

18

c)

19

d)

20

e)

7

36.
a)

13

b)

20

c)

24

d)

30

e)

not enough information

37.
a)
b)
c)
d)
38.

Which graph corresponds to

(x-8)2+ (y+2)2=

a)

A

b)

B

c)

C

d)

D

e)

Not enough information, need the radius

39.
What is the equation of a circle with radius 4 and center (0, 8)?
a)
x2 + (y-8)2 = 16
b)
(x-8)2 + y2 = 4
c)
x2 + (y-8)2 = 4
d)
x2 + (y+8)2 = 16
40.
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
41.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
42.
Find the value of x
a)
15
b)
20
c)
10
d)
17
43.
Find the value of x
a)
4
b)
18
c)
3
d)
9
44.
a)
10
b)
15
c)
12
d)
19
45.
What is the value of x?
a)
A
b)
B
c)
C
d)
D
46.
Find the perimeter of the quadrilateral.
a)
A
b)
B
c)
C
d)
D