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Circle Review Assignment

Total questions: 35

Worksheet time: 6hrs 50mins

Name
Class
Date
1.

A segment/chord that runs through the center of the circle (the longest chord).

a)

Chord

b)

Diameter

c)

Radius

d)

Tangent

2.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
3.
The short way around a circle that is less than 180 o.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
4.

What is the line called?

a)

Chord

b)

Tangent

c)

Secant

d)

Diameter

5.

What is this called?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

6.

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl? Use π to calculate and Round to the nearest hundredth.

(a)  

7.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the PERIMETER of her welcome mat in feet when the diameter is 8 in? Use π to calculate and Round to the nearest tenth. (Formula=πr+d)

(a)  

8.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area? Use 3.14 to calculate your answer.

(a)  

9.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area? Round to the nearest hundredth.

a)

113.10 m2

b)

18.85 m2

c)

28.26 m2

d)

28.27 m2

10.

Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?

a)

31 in2

b)

314 in2

c)

157 in2

d)

628 in2

11.

Which segment is NOT a radius?

a)

CA

b)

LM

c)

CD

12.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a DIAMETER of 3.5 feet. What is the ring's CIRCUMFERENCE (use 3.14 for pi)?

*C = πd

a)

11.32 ft

b)

12.25 ft

c)

10.99 ft

13.

Find the arc MEASURE of arc YU

a)

55˚

b)

125˚

c)

17˚

d)

25˚

14.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

15.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

16.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

17.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47o

b)

74o

c)

94o

d)

123o

18.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

13.96

b)

139.56

c)

27.91

d)

558.22

19.

The image shows two intersecting chords. Find the measure of the inscribed angle V.

a)

85o

b)

80o

c)

87o

d)

117o

20.

Please read the information shown in the image carefully. What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

21.

What is the value of the central angle x?

a)

x = 160o

b)

x = 40o

c)

x = 80o

d)

x = 360o

22.

What is the radius of this circle? Type your answer with the correct unit.

(a)  

23.

What is the diameter of this circle? Type your answer with the correct unit.

(a)  

24.

The circumference of a circle is 36.31 meters. What is the approximate length of the radius? Use 3.14 for π.

a)

3 m

b)

4 m

c)

5 m

d)

6 m

25.

Find the value of x.

(a)  

26.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

27.

Find the value of x.

a)

15

b)

18

c)

21

d)

24

28.

Find the value of x.

a)

20.5

b)

9.5

c)

3

d)

5

29.

Solve for x.

(a)  

30.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

(a)  

31.

Solve for x.

(a)  

32.
a)
240
b)
230
c)
205
d)
255
33.
Name the secant(s).
a)
segment WR
b)
line VT
c)

segment WQ

d)

line S

34.

A line segment that extends between any two unique points of a circle without going through the center

a)

circle

b)

diameter

c)

chord

d)

radius

e)

circumference

35.
a)

A

b)

B

c)

C

d)

D