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Circles Tangents Secants Chords and Angles

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Q1. What is the sum of 16 and 17?

a)

A) 33

b)

B) 18

c)

C) 46

d)

D) 16

2.
a)
240
b)
230
c)
205
d)
255
3.

Find the radius r

a)

2

b)

3

c)

4

d)

5

4.

Find the measure of ∠ABE.

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

5.

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

(a)  

6.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

7.

Section 10-2:

Lines that appear to be tangent are​ tangent.

        What is the value of​ x?

8.

Where in the intersection of the secants shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.

9.

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

10.

In the diagram, PQ and QR are tangents to a circle at P and R respectively. Which of the following statements is correct?

a)

PQRQPQ\ne RQ

b)

OQ=RO+QROQ=\sqrt{RO+QR}

c)

PQO=ROQ\angle PQO=\angle ROQ

d)

POQ=QOR\angle POQ=\angle QOR

11.

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

(a)  

12.

Line HK is tangent to circle C at point J.

Find each measure.

m∠KJM = ​ ​ (a)   _ , m∠MJN = ​ (b)   , m∠HJN = ​ (c)  

Choose from the below words

48

63

222

192

69

138

13.

Find the value of x

a)

4

b)

18

c)

3

d)

9

14.

Which best describes segment AB? (a)  

Choose from the below words

chord

secant

tangent

diameter

15.

Where in the intersection of the secants shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.

16.

Where in the intersection of the lines shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.

17.

What is in the picture?

a)

Two tangents

b)

Two Secants

c)

Two Chords

d)

One Secant and One Tangent

18.

is a... 

a)

Secant

b)

Tangent

c)

Chord

d)

Point of Tangency

19.

Find x

a)

10

b)

5

c)

18

d)

9

20.

Where in the intersection of the secants shown?

a)

Inside the circle

b)

Outside the circle

c)

On the circle

d)

The secants do not intersect.