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Worksheets

mathematics

Total questions: 93

Worksheet time: 2hrs 9mins

Name
Class
Date
1.
What do we call the red line?
a)
Chord
b)
Arc
c)
Diameter
d)
Segment
2.

How many chords are in the figure?

a)

1

b)

2

c)

3

d)

0

3.
What is segment OC?
a)
diameter
b)
radius
c)
tangent
d)
chord
4.

Name a radius.

a)

line AB

b)

line DB

c)

line CB

d)

line CE

5.
What is segment PQ?
a)
diameter
b)
radius
c)
tangent
d)
chord
6.
What is segment AB?
a)
diameter
b)
radius
c)
tangent
d)
chord
7.
What is O?
a)
diameter
b)
radius
c)
center
d)
chord
8.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
9.
What is the radius?
a)
18
b)
72
c)
38
d)
14
10.

Which segment is a diameter of the circle?

a)

Segment AC

b)

Segment EB

c)

Segment DA

d)

Segment AB

11.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
12.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
13.
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
14.
If the circumference of a circle is 22 π ft, what is the radius?
a)
22 ft
b)
11ft
c)
π ft
d)
no ft
15.
If the circumference of a circle is 22π , what is the diameter?
a)
22 ft
b)
11 ft
c)
π ft
d)
0 ft
16.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
17.
If the circumference of a circle is 44 π feet, what is the radius?
a)
22 ft
b)
44 ft
c)
33 feet
d)
3.14 feet
18.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
19.
A _____ is half of a circle.
a)
circumference
b)
pi
c)
semicircle
d)
 composite figure
20.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
21.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
22.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
23.
If the area of circle is 100 π , find the radius of the circle.
a)
10 π
b)
10
c)
50
d)
50 π
24.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

25.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

26.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

27.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

28.

what is the definition of pi


select ALL that apply

a)

it is the sixteenth letter in the greek alphabet

b)

it has a represented value of 3.14

c)

it has a represented value of 22/7.

d)

Its something you eat...

29.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c2

d)

c = π 2 r

30.

what is the formula for finding radius

a)

c = π d

b)

c = 2 π r

c)

d = r/2

d)

r = d/2

31.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

32.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 15 π
33.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
34.
What is the area of this circle?
a)
8322.13
b)
1134.11
c)
4536.46
d)
1267.09
35.

A straight line from the centre of the circle to any point on the circumference is ________.

a)

Diameter

b)

Chord

c)

Radius

d)

Arc

36.

If you are given the diameter, how can you calculate the radius?

a)

Multiply the diameter by 2

b)

Divide the diameter by 2

c)

Add 2 to the diameter

d)

Subtract 2 from the diameter

37.

Which of the following is the chord?

a)

LM

b)

AE

c)

AC

d)

ED

38.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = π d

c)

C = 2 π r

d)

C = 2 π d

39.

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

a)

π

b)

22

c)

11

d)

0

40.

What is the circumference of this circle?

(Use 3.14 for π)

a)

452.39 cm

b)

75.36 cm

c)

452.16 cm

d)

75.40 cm

41.

How do you find the area of a circle?

a)

πd2

b)

2πr

c)

πr2

d)

2π2

42.

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

a)

31.25 m2

b)

29.55 m2

c)

30.36 m2

d)

28.28 m2

43.

What is the area of this circle?

(Use 3.14 for π)

a)

75.40 cm

b)

452.16 cm

c)

452.16 cm2

d)

75.40 cm2

44.

Find the length of minor arc AB, correct to two decimal places.
(Use  π\pi = 3.142)

a)

56.56

b)

65.98

c)

395.89

d)

9.43

45.

A ______ is the region enclosed by two radii and an arc.

a)

Segment

b)

Sector

c)

Chord

d)

Circumference

46.

What is the region enclosed by a chord and an arc?

(a)  

47.

T is the longest part of the circumference. What is T ?

a)

Chord

b)

Major Arc

c)

Major Segment

d)

Major Sector

48.

Find the area of the sector, rounding your answer to one decimal place.

a)

176.7cm2

b)

156.7cm2

c)

23.6cm2

d)

88.4cm2

49.

The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = ½bh - πd

c)

A = πr² - ½bh

d)

A = ½bh - πr²

50.

What is the green area called?

a)

Sector

b)

Section

c)

Segment

d)

Arc

51.

A circle has a circumference of 36. What is the radius of the circle? Round to one decimal place.

(a)  

52.

A circle has a circumference of 36. What is the area of the circle? Round to the nearest whole number.

(a)  

53.

Perpendicular bisectors of two chords meet at the (a)   of the circle.

54.

Equal chords or chords of the same length produce (a)   of the same length.

55.

What is A?

(a)  

56.

Calculate the circumference of a circle with a diameter of 2m. Use

 π=3.142\pi=3.142  . Write your answer in 2 decimal places.



(a)  

57.

Calculate the circumference of a circle with a radius of 12cm. Use

 π=227\pi=\frac{22}{7}  . Write your answe in 2 decimal places.



(a)  

58.

The formulae

 2πr2\pi r  . What does r represent?



(a)  

59.

Find a diameter of a circle with circumference 36cm. Use

 π=3.142\pi=3.142  . Write your answer in 2 decimal places.



(a)  

60.

Find a radius of a circumference of 63.5mm. Use

 π=227.\pi=\frac{22}{7}.  Write your answer in 2 decimal places.



(a)  

61.

A round-shape cake has a circumference of 54 cm. What is the radius of the cake? Use  π=3.142.\pi=3.142.  Write your answer in 2 decimal places. 


(a)  

62.

Is C the diameter of the circle?

a)

Yes

b)

No

63.

Calculate the arc length of the sector given in the picture. Use π=3.142.\pi=3.142. Write your answer in 3 decimal places. 

(a)  

64.

A ball fits exactly into a square box as shown in the diagram. If the length of the box is 21cm, find the circumference of the circle. Use π = 3.142. Write your answer in 2 decimal places.

(a)  

65.

What does the shaded area represent?

(a)  

66.

Calculate the area of circle using  π=3.142\pi=3.142 

a)

 50.27cm250.27cm^2  

b)

 54.33cm254.33cm^2  

c)

 45.75cm245.75cm^2  

d)

 87.78cm287.78cm^2  

67.

What does the red line represent?

(a)  

68.

What is a chord?

a)

Centre of the circle

b)

A straight line between 2 circumference that pass through the centre

c)

Perimeter of the circle

d)

A straight line between 2 circumference that do not pass through the centre

69.

Given OK=4cm and KM=3cm. Find the length of OM.

(a)  

70.

The diagram shows a circle with a radius of 15cm. Find the length of major arc RS using   π=227.\pi=\frac{22}{7}.       

a)

 75.42cm275.42cm^2  

b)

 75.43cm275.43cm^2  

c)

 75.44cm275.44cm^2  

d)

 75.45cm275.45cm^2  

71.

Calculate the area of major sector MON when

π=3.142. Write your answer in 2 decimal places. Don't write the unit.

(a)  

72.

PRT is a right-angled triangle. R is the centre for the quadrant. Given RT=24cm, PR=RT and PQ=24. Calculate the perimeter of the quadrant. Use π = 3.142. Write your answer in 2 decimal places.

(a)  

73.

How many axis of symmetry does a circle has?

(a)  

74.

Given diameter is 50cm. Find the value of the radius.

(a)  

75.

This is an arc length; a part of the circumference.

a)

Yes.

b)

No.

76.

This is a segment; an area bounded by an arc and a chord.

a)

Yes.

b)

No.

77.

This is an arc length; a part of the circumference. What's the formulae?

a)

Arc length =x360×2πr=\frac{x}{360}\times2\pi r

b)

Arc length =x360×πr2=\frac{x}{360}\times\pi r^2

78.

This is a sector; an area bounded by an arc and two radii.

a)

Yes.

b)

No.

79.

This is a sector; an area bounded by an arc and two radii. What's the formulae?

a)

Area of sector =x360×2πr=\frac{x}{360}\times2\pi r

b)

Area of sector =x360×πr2=\frac{x}{360}\times\pi r^2

80.

This is a chord; a straight line joining any two points on the circumference.

a)

Yes.

b)

No.

81.

This is a diameter; a straight line joining two points on the circumference and passing through the centre.

a)

Yes.

b)

No.

82.

This is a diameter; a straight line joining two points on the circumference and passing through the centre.

a)

Diameter = 2 (radius)

b)

Radius = 2 (diameter)

83.

This is a radius; a straight line from the centre to the circumference of the circle.

a)

Yes.

b)

No.

84.

This is a circumference; the perimeter of a circle. What's the formulae?

a)

Circumference =2πr=2\pi r

b)

Circumference =2πd=2\pi d

85.

This is a circumference; the perimeter of a circle. What's the other formulae?

a)

Circumference =πd=\pi d 

b)

Circumference =πr=\pi r 

86.

What's the formulae for the area of circle?

a)

Area =πr2=\pi r^2

b)

Area =2πr=2\pi r

87.

What's the other  formulae for the area of circle?

a)

Area =πd22=\frac{\pi d^2}{2} 

b)

Area  =πd24=\frac{\pi d^2}{4} 

88.

What's the common values of  π\pi  ?

a)

 227\frac{22}{7}  

b)

 3.1423.142  

c)

 3.1433.143  

d)

 237\frac{23}{7}  

89.

This is a diameter; a straight line joining two points on the circumference and passing through the centre.

a)

Radius =diameter2=\frac{diameter}{2}

b)

Radius =2 (diameter)=2\ \left(diameter\right)

90.

What is the circumference of this circle?
(Use π = 3.14)

a)

452.39 cm

b)

75.36 cm

c)

452.16 cm

d)

75.40 cm

91.

The diagram shows a circle with centre O. Given OF = 6.5 cm and EG = 5 cm, calculate the area of the shaded region, in cm2cm^2  . Give answers correct to two decimal places. (Use  π\pi  = 3.142)

a)

107.25  cm2cm^2  

b)

102.75  cm2 cm^2\   

c)

102.57  cm2cm^2  

d)

107.52  cm2cm^2  

92.

What is the part of a circle which enclosed by two radii and an arc?

a)

Segment

b)

Chord

c)

Sector

d)

Centre

93.

The diagram shows a rectangular piece of land owned by Encik Rashid. Encik rashid divided his land into 3 parts. The first part is a triangle KLM. K is the midpoint of JL and M is the midpoint of LN. The second part is semicircle. Encik Rashid intends to plant vegetables in the first and second part. Calculate the area that is not planted with vegetables (Use  π\pi  = 3.142)

a)

129.2  cm2cm^2  

b)

123.9  cm2cm^2  

c)

122.9  cm2cm^2  

d)

129.9  cm2cm^2