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Worksheets

CIRCLES

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

The measure of an arc is 950. What is the measure of an inscribe angle that intercepts its?

a)

47.50

b)

950

c)

1900

d)

2650

2.

An angle that has a vertex on a circle and sides that contain chords of the circle.

a)

Intercepted Arc

b)

Right angle

c)

Inscribed angle

d)

Obtuse angle

3.

It has end points on the sides of an inscribed angle and lies in the interior of the inscribed angle.

a)

inscribed angle

b)

intercepted arc

c)

chord

d)

circle

4.

Is a line in the same plane as a circle that intersects the circle.

a)

tangent

b)

secant

c)

inscribed angle

d)

intercepted arc

5.

Refer to the figure. Find m \angle  1.

a)

60

b)

55

c)

50

d)

45

6.

Refer to the figure. Find  \angle  2. 

a)

30

b)

25

c)

20

d)

15

7.

Refer to the figure. Find m \angle  3. 

a)

35

b)

30

c)

25

d)

20

8.

Refer to the figure. m \angle  4. 

a)

120

b)

100

c)

80

d)

60

9.

In circle B, find x if m \angle  A = 3x + 9 and m \angle  B = 8x - 4. 

a)

10

b)

11

c)

12

d)

13

10.

Determine whether segment BC is tangent to the given circle.no

a)

yes

b)

no

11.

Determine whether segment QR is tangent to the given circle.

a)

yes

b)

no

12.

Find x. Assume that segments that appear to be tangent are tangent.

a)

10

b)

11

c)

12

d)

13

13.

Find x. Assume that segments that appear to be tangent are tangent.

a)

17 2\sqrt{2}

b)

18 3\sqrt{3}

c)

20

d)

20 5\sqrt{5}

14.

Segment SL and segment SK are tangent to the circle. Find x.

a)

1

b)

52\frac{5}{2}

c)

5

d)

144

15.

How many common tangent can be formed in the diagram.

a)

1

b)

2

c)

3

d)

4

16.

How many common tangent can be formed in the diagram.

a)

1

b)

2

c)

3

d)

4

17.

Find the value of x.

a)

70

b)

67.5

c)

60

d)

25

18.

Find the value of m 1\angle1  .

a)

110

b)

220

c)

134

d)

86

19.

Find the value of chord TS.

a)

110

b)

144

c)

126

d)

108

20.

Find the value of m 2\angle2  .

a)

70

b)

34

c)

146

d)

73