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Circle Slides M2

Total questions: 68

Worksheet time: 6hrs 27mins

Name
Class
Date
1.

What does O represent in the image?

(a)  

2.

What is  NP\overline{NP}  in the image?



(a)  

3.

What is line AB in the image?



(a)  

4.

The distance from the center of a circle to a point on the circle is the

a)

radius

b)

diameter

c)

tangent

5.

The diameter is

a)

the distance from the center of a circle to a point on the circle

b)

the distance from one point on a circle through the center to another point on the circle

c)

a line that intersects the circle at two points.

6.

A (a)   is a closed rounded figure whose points are equidistant from the center

7.

What does the blue line represent?

(a)  

8.

Tangent lines are ______ to a radius

a)

parallel

b)

perpendicular

c)

touching

9.
A chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
10.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
11.
A chord that passes through the center of a circle
a)
radius
b)
secant
c)
major arc
d)
diameter
12.
A line that intersects a circle at two points is a ______________.
a)
tangent
b)
secant
c)
diameter
d)
chord
13.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
14.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
15.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
16.
a)
A point of tangency
b)
A tangent
c)
A center
d)
Outside of circle C
17.

If the diameter of a circle is 27, the radius is _____?

a)

27

b)

13.5

c)

54

d)

9

18.

If the radius of a circle is 2x, what is the diameter?

a)

2x

b)

x

c)

4x

d)

2x2

19.

Find the area.

a)

452.4m2

b)

37.7m2

c)

118.4m2

d)

75.4m2

20.

Find the area.

a)

1017.9in2

b)

88.8in2

c)

28.3in2

d)

254.5in2

21.

Find the circumference.

a)

11.0 mm

b)

153.9 mm

c)

44.0 mm

d)

38.5 mm

22.

Find the circumference.

a)

81.7 m

b)

32.0 m

c)

64.1 m

d)

40.9 m

23.

What is the formula for the AREA of a circle?

a)

A=2πrA=2\pi r

b)

A=πr2A=\pi r^2

c)

A=πr3A=\pi r^3

d)

A=πrA=\pi r

24.

What is the formula for the CIRCUMFERENCE of a circle?

a)

C=πrC=\pi r

b)

C=πr2C=\pi r^2

c)

C=2rC=2r

d)

C=2πrC=2\pi r

25.

If the radius of a circle is 5 cm5\ cm , what is its AREA in terms of π\pi ?

a)

15π cm215\pi\ cm^2

b)

10π cm210\pi\ cm^2

c)

25π cm225\pi\ cm^2

d)

20π cm220\pi\ cm^2

26.

If the RADIUS of a circle is 3.5 cm3.5\ cm , what is its CIRCUMFERENCE in terms of π\pi ?

a)

7π cm7\pi\ cm

b)

10π cm10\pi\ cm

c)

14π cm14\pi\ cm

d)

21π cm21\pi\ cm

27.

If the DIAMETER of a circle is 12 cm12\ cm , what is its AREA in terms of π\pi ?

a)

144π cm2144\pi\ cm^2

b)

36π cm236\pi\ cm^2

c)

24π cm224\pi\ cm^2

d)

72π cm272\pi\ cm^2

28.

If the CIRCUMFERENCE of a circle is 138.23 cm138.23\ cm , find its radius?

Give your answer to the nearest centimetre.

a)

7 cm7\ cm

b)

11 cm11\ cm

c)

33 cm33\ cm

d)

22 cm22\ cm

29.

Rocky has a choice between 2 pizzas: a circular pizza with a 10-inch diameter, and a square pizza with a 9-inch side. Which statement below is true?

a)

The pizzas have the same area.

b)

The area of the square pizza is larger.

c)

The area of the circular pizza is larger.

d)

The area of the circular pizza is 100 square inches.

30.

The diameter of a quarter is 24.26 mm. What is closest to the circumference of the outer edge of the quarter? Use 3.14 for Pi.

a)

76.18 mm

b)

38.01 mm

c)

463 mm

d)

1,848 mm

31.

The radius of this pizza is 9 ½ in. What is the approximate area of the pizza?

a)

81 in2

b)

29.83 in2

c)

59 ⅔ in2

d)

283 ½ in2

32.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
33.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
34.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
35.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
36.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
37.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees. 
d)
It measures less than 180 degrees.
38.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
39.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
40.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
41.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

42.

Arc TW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

43.

Which arcs are semicircles?  Check all that apply.

a)
b)
c)
d)
44.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

45.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

46.
Solve
a)
25°
b)
125°
c)
145°
d)
45°
47.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
48.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

49.

BD\overrightarrow{BD}  bisects ABC\angle ABCmABD=3x+5m\angle ABD=3x+5  and  mABC=2x+30m\angle ABC=2x+30 . Find  mDBCm\angle DBC  . 

a)

15°15\degree  

b)

35°35\degree  

c)

5°5\degree  

d)

20°20\degree  

50.

Find the value of x.

a)

88

b)

78

c)

84

d)

74

51.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

52.

Observe the given circle and write the interior angles subtended by chord PQ.

a)

∠PAQ

b)

∠PAQ, ∠PBQ

c)

∠PAQ, ∠PBQ, ∠ROS

d)

∠PBQ, ∠ROS

53.
In a circle (or congruent circles), congruent arcs:
a)
have congruent chords
b)
have congruent points
c)
are twice the measure of their radii
d)
can climb a hippo
54.

An arc of a circle whose endpoints are the endpoints of a diameter.

a)

semicircle

b)

major arc

c)

minor arc

d)

circle

55.

A continuous part of a circle between two points on the circle.

a)

circle

b)

arc

c)

circumference

d)

tangent line

56.

An angle whose vertex is the center and whose sides are the radii of the circle.

a)

radius

b)

arc

c)

central angle

d)

secant line

57.

An angle whose vertex is on the circle and whose sides are chords of the circle.

a)

adjacent arcs

b)

diameter

c)

Inscribed angle

d)

arc

58.

Is the intersection of the tangent line and a point on the side of the circle.

a)

arc

b)

Point of tangency

c)

secant line

d)

radii

59.

An arc that is larger than the semicircle.

a)

semicircle

b)

circle

c)

major arc

d)

adjacent arcs.

60.

Circles that lie in the same plane and have the same center.

a)

arc

b)

concentric circles

c)

central angle

d)

secant line

61.

Arcs on the same circle that have exactly one point in common.

a)

adjacent arcs

b)

circle

c)

point of tangency

d)

minor arc

62.

What does the word bisect mean?

a)

To cut something into many congruent parts.

b)
It is a plane with two sets of wings.
c)

A shape that has two sides. 

d)

To cut something into two congruent parts or in half.

63.

BD\overrightarrow{BD}  bisects CBA\angle CBA  

Find the mCBAm\angle CBA  

a)

120°120\degree  

b)

65°65\degree  

c)

130°130\degree  

d)

125°125\degree  

64.

AB \overrightarrow{AB\ }  bisects CAD\angle CAD  .

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

65.

Find the value of x.

a)
x=67
b)
x=43
c)
x=55
d)
x=12
66.

Identify the given arc NM.

a)

major arc

b)

minor arc

c)

semicircle

67.

Identify the given arc JLM.

a)

major arc

b)

minor arc

c)

semicircle

68.

Identify the given arc NLK.

a)

major arc

b)

minor arc

c)

semicircle