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F2 5.3 Circumference and length of arc in a circle.

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

Given that the circumference of a circle is 88 cm. Find the diameter, in cm, of the circle.

a)

14

b)

28

c)

36

d)

44

2.

Given that the radius of a circle is 35 mm. Find the circumference of the circle in cm.

 ( Use  π=227\pi=\frac{22}{7}  )

a)

11

b)

22

c)

110

d)

220

3.

Given that the circumference of a circle is 28.28 cm. Find the radius, in cm of the circle. Correct your answer to 1 decimal place. ( Use  π\pi  = 3.142)

a)

4.5

b)

4.6

c)

9.0

d)

9.2

4.

The diagram shows a circle with centre O. Find the length of minor arc of PQ. Write your answer in 2 decimal places. 
(Use  π=\pi=  3.142)

a)

6.28

b)

6.29

c)

12.56

d)

12.57

5.

The diagram shows a circle with centre O. Given that the length of major arc of AB is  802380\frac{2}{3} cm and  AOB=140°\angle AOB=140\degree  . Find the radius of circle in cm. 
(Use   π=227\pi=\frac{22}{7}  )

a)

7

b)

14

c)

21

d)

27

6.

The diagram shows a circle with centre O. Given that the length of  45256345\frac{25}{63}  cm and  POQ=100°\angle POQ=100\degree  . Calculate the diameter, in cm, of the circle. 
(Use  π=227\pi=\frac{22}{7}  )

a)

5

b)

10 

c)

15

d)

20

7.

The diagram shows a circle with centre O. Given that the radius of circle is 12 cm. Find the length of major arc of PQ in cm. Write your answer in 2 decimal places.
(Use  π=\pi=  3.142)

a)

7.33

b)

14.66

c)

30.37

d)

60.75

8.

The diagram shows a circle with centre O. Find the length of major arc of PQ in cm.
(Use  π=227\pi=\frac{22}{7}  )

a)

 234723\frac{4}{7}  

b)

24

c)

33

d)

 334733\frac{4}{7}  

9.

The diagram shows a sector OPQ of a circle with centre O. Given that radius of circle is 21 cm and the length of minor arc PQ is 44 cm. Find the value of  θ\theta .
( Use \pi=\frac{22}{7}  )

a)

 90°90\degree  

b)

 120°120\degree  

c)

 150°150\degree  

d)

 170°170\degree  

10.

The diagram shows three circles of the same size that are touching one another and also the sides of rectangle.
Calculate the circumference, in cm, of each of the circle.
Write your answer in 2 decimal places.
( Use π=227\pi=\frac{22}{7}  )

a)

18.85

b)

18.86

c)

37.71

d)

37.72