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Circles without Coordinates Review

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

What is the distance around a circle called?

(a)  

2.

Which line is a chord of circle P in the diagram?

a)

PQ\overline{PQ}

b)

QR\overline{QR}

c)

RS\overline{RS}

d)

ST\overline{ST}

3.

Segment OC is perpendicular to Segment AB. What is the length of segment AB?

a)

3.35

b)

6.7

c)

13.4

d)

20.1

4.

If two chords are the same distance from the center of a circle, then they are (a)   .

5.

Which type of arc lies outside of the central angle and measures more than 180?

a)

Major arc

b)

Minor arc

c)

semicircle

6.

If angle DEF measures 60, what is the measure of arc DF?

a)

30°30\degree

b)

60°60\degree

c)

120°120\degree

d)

300°300\degree

7.

If angle ABC measures 65, what is the measure of arc ADC?

a)

65°65\degree

b)

130°130\degree

c)

230°230\degree

d)

295°295\degree

8.

True or False? An inscribed angle is formed by two chords that share an endpoint.

a)

True

b)

False

9.

Point O is the center of the given circle. What is the measure of arc DF?

a)

38°38\degree

b)

104°104\degree

c)

19°19\degree

d)

76°76\degree

10.

What is the measure of angle PTS?

Measure of arc PS= 60
Measure of arc QR= 74

a)

 60°60\degree  

b)

 67°67\degree  

c)

 74°74\degree  

d)

 134°134\degree  

11.

A tangent-tangent angle intercepts two arcs that measure 135 and 225. What is the measure of the tangent-tangent angle?

a)

45°45\degree

b)

90°90\degree

c)

135°135\degree

d)

180°180\degree

12.

What is the measure of angle DFH?

a)

43°43\degree

b)

47°47\degree

c)

53°53\degree

d)

86°86\degree

13.

If the measure of a tangent-chord angle is 68, then what is the measure of the intercepted arc inside the angle?

a)

34°34\degree

b)

68°68\degree

c)

112°112\degree

d)

136°136\degree

14.

The circumference of the circle shown is 75 inches. Which expression gives the length in inches of arc DE?

a)

7236075π\frac{72}{360}\cdot75\pi

b)

3607275π\frac{360}{72}\cdot75\pi

c)

7236075\frac{72}{360}\cdot75

d)

3607275\frac{360}{72}\cdot75

15.

The radius of the circle shown is 7 inches. What is the approximate length of arc AB?

a)

8.2 in

b)

16.5 in

c)

44.0 in

d)

57.7 in

16.

To the nearest hundredth, what is the area of a circle with a radius of 4 units?

a)

12.57 sq units

b)

25.13 sq units

c)

42.85 sq units

d)

50.27 sq units

17.

A pizza with a diameter of 18 inches is cut into 10 equal slices. To the nearest square inch, what is the area of each slice of the pizza?

a)

16 in2

b)

8 in2

c)

25 in2

d)

51 in2

18.

To the nearest square centimeter, what is the area of the shaded sector in the circle?

a)

12 cm2

b)

23 cm2

c)

138 cm2

d)

151 cm2

19.

If a parallelogram is inscribed in a circle, it must be a (a)  

20.

What is the value of x?

a)

74

b)

76

c)

104

d)

106