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Measure of Tangent and Secant from the Center

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

find the measure of y

a)

30

b)

60

c)

90

d)

180

2.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

3.

What can you conclude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

4.

Is line AB tangent to the circle?

a)

YES

b)

NO
NO

c)

Not Enough Info

5.
a)

1) 32

b)

2) 48

c)

3) 52

d)

4) 38

6.

Find the length of CF.

a)

8

b)

4

c)

3

d)

6

7.

Is BD tangent to the circle?

a)

Yes

b)

No

8.

Find x

a)

10

b)

5

c)

18

d)

9

9.

The radius is 14 and CD = 22. How long is AE?

a)

14

b)

17.80

c)

11

d)

8.67

10.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

11.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

12.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

13.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

4.1

b)

5.8

c)

4.7

d)

3.6

14.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

26

b)

57

c)

66

d)

114

15.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

16.

Lines AO and BO are tangent. What is the measure of BO?

a)

20

b)

15

c)

10

d)

5

17.
a)
A chord
b)
A secant
c)
A sector
d)
A tangent
18.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

19.

In the figure,PA and PB are the tangents to a circle of center 'O'. ∠AOB= 1200 then ∠APB =

a)

600

b)

300

c)

1200

d)

750

20.

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠APB = 480 then ∠AOP =

a)

680

b)

660

c)

560

d)

760