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Circle Chords Secants and Tangents Line Segments

Total questions: 20

Worksheet time: 16mins

Name
Class
Date
1.

A line segment connecting any two points on a circle is called a _____________.

a)

diameter

b)

chord

c)

radius

d)

Secant

2.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

3.

What is the definition of a secant?

a)

A line segment whose endpoints are on the circle.

b)

A line that intersects a circle in one point.

c)

A line that intersects a circle in two points.

d)

A line segment which intersects the circle at the point of secancy.

4.

What is the point of contact?

a)

The point where the tangent intersects a circle.

b)

The point where the tangent interssects the center of the circle.

c)

The point where the tangent intersects with another tangent.

d)

The point where the tangent intersects with a secant.

5.

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

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.

No of tangents can be drawn to a circle from external point

(a)  

8.

No. of circle can be drawn through 3 non collinear points

a)

0

b)

1

c)

2

d)

infinite

9.

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

10.

The tangents drawn at the end points of diameter of a circle are

a)

coinsides

b)

parallel

c)

perpendicular

d)

not co planner

11.

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

12.

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

13.

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠AOP = 450 then ∠APB =

a)

650

b)

1350

c)

900

d)

22.50

14.

The length of the tangents that can drawn to a circle is 20 cm radius from external point which is 25 cm away from the center is

a)

30 cm

b)

12 cm

c)

15 cm

d)

18 cm

15.

The angle in the semi circle is

a)

1800

b)

900

c)

3600

d)

00

16.

In figure ACB=360\angle ACB=36^0  , then  AOB\angle AOB  = 

a)

18018^0

b)

36036^0  

c)

72072^0  

d)

1080108^0  

17.

In figure ACB\angle ACB  + AOB\angle AOB  = 1200120^0  , then  AOB=\angle AOB=   

a)

1200120^0

b)

60060^0  

c)

80080^0  

d)

1800180^0  

18.

No. of circle can be drawn through 2 distinct points

a)

0

b)

1

c)

2

d)

infinite

19.

If two concentric circles are radius 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is ____.

a)

8 cm

b)

4 cm

c)

10 cm

d)

12 cm

20.

The limit of a secant to a circle is a ……… to the circle

a)

Chord

b)

Diameter

c)

Arc

d)

Tangents