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Worksheets

Circle Graphs Angles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Calculate the central angle for a sector representing 20% of a circle graph.

a)

60 degrees

b)

90 degrees

c)

72 degrees

d)

45 degrees

2.

What is the measure of the central angle in a circle graph representing 45% of the total data.

a)

180 degrees

b)

162 degrees

c)

90 degrees

d)

45 degrees

3.

Find the percentage represented by a sector with a central angle of 90 degrees in a circle graph.

a)

50%

b)

90%

c)

30%

d)

25%

4.

Out of the 50 people surveyed, 11 said that their favorite flavor of ice cream is black raspberry. How many degrees of the circle graph is this pie piece?

a)

11 degrees

b)

22 degrees

c)

79.2 degrees

d)

39.6 degrees

5.

What is the measure of arc AB?

a)

44

b)

22

c)

88

d)

55

6.

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)  

Choose from the below words

25 degrees

40 degrees

50 degrees

100 degrees

7.

Solve for x.

(a)  

8.

Find the value of xx  

(a)  

9.

In the circle, the diameter QS intersects the chord PR at M, the midpoint of PR. Given that O is the centre of the circle and POQ = 136°\angle POQ\ =\ 136\degree  , calculate RSQ\angle RSQ  

(a)  

10.

Find the m<MLN.

a)

39°

b)

32°

c)

48°

d)

34°

11.

Solve for x:

12.

In the figure, PT is a tangent to the circle, centre O and POS is a diameter. The radius OR is parallel to PT, the line TO cuts the circle at Q and OTP = 36°\angle OTP\ =\ 36\degree  

Find QSR\angle QSR  

(a)  

13.

Find the value of x.

14.

Solve for x. 

a)

20

b)

40

c)

85

15.

Find the measure of arc CD.

a)

100

b)

50

c)

25

16.

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

17.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
18.
19.


Calculate angle BAO\angle BAO

(a)  

20.

Compare the central angles of two sectors in a circle graph: Sector A - 120 degrees, Sector B - 90 degrees.

a)

Sector A has a central angle of 180 degrees.

b)

Sector A has a larger central angle than Sector B.

c)

Sector A and Sector B have equal central angles.

d)

Sector A has a smaller central angle than Sector B.