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Tangent and Radius

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

a line that intersects the circle at exactly one place.

a)

diameter

b)

tangent

c)

secant

d)

chord

2.

What is Line LQ?

a)

secant

b)

tangent

c)

chord

d)

radius

3.

the point at which the tangent line intersects the circle

a)

point of tangency

b)

tangent

c)

secant

d)

diameter

4.

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

5.
a)
12.1
b)
9.9
c)
16
d)
18.8
6.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

7.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

8.

What is the value of DC? (to the nearest hundredth) 

a)

9.43

b)

4.43

c)

√89

d)

9

9.

Find the radius r

a)

2

b)

3

c)

4

d)

5

10.

Determine whether segment MP is tangent to the circle.

a)

YES

b)

NO

11.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

12.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

13.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

14.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

15.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

16.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

17.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

18.

What can you conclude from the picture?

a)

m is parallel to circle C

b)

m is skew to circle C

c)

m bisects circle C

d)

m is tangent to circle C

19.

The length of the tangents that can drawn to a circle of 7 cm radius from external point which is 25 cm away from the center

a)

32 cm

b)

25 cm

c)

24 cm

d)

18 cm

20.

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