Free Printable Chapter 10 Review

1.

What is the radius of this circle?

a)

12

b)

6

c)

24

2.

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.

3.

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.

4.

Name a minor arc

a)

ABD

b)

ADB

c)

AB

d)

BDA

5.

Name a major arc.

a)

ABD

b)

BDA

c)

AB

d)

BD

6.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

7.

What is the measure of semi-circle BCD?

a)

180

b)

38

c)

142

d)

360

8.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

9.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

10.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

11.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

12.

What is the measure of

\angle UWT

?

a)

$210\degree$

b)

$150\degree$

c)

$130\degree$

d)

$80\degree$

13.

Find the length of the arc. Round to the nearest 10th.

(a)

14.

Find the length of the arc. Round to the nearest 10th.

(a)

15.

Name the part shown in the given circle.

a)

Sector

b)

Chord

c)

Segment

d)

Circumference

16.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = 2 π r

c)

C = π d

d)

C = 2 π d

17.

If the area of a circle is 25 π in² , then the diameter is?

a)

10 in

b)

5 in

c)

25 in

d)

pi in

18.

If the circumference of a circle is 22 π ft, what is the radius?

a)

22 ft

b)

11ft

c)

π ft

d)

no ft

19.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

20.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

21.

Use chords to solve for x

a)

x = 35^o

b)

x = 50^o

c)

x = 70^o

d)

x = 140^o

22.

Problem #7: Write an algebraic equation and solve for x.

a)

15

b)

21

c)

35

d)

49

23.

In a circle (or congruent circles), chords that are the same distance from the center:

a)

are similar

b)

have the same name

c)

are congruent to each other

d)

are walking dead

24.

In a circle, if a radius or diameter is perpendicular to a chord, then it____ the chord and its arc.

a)

equals

b)

bisects

c)

arcs

d)

circles

25.

Find the value of x.

a)

12.5

b)

8

c)

35

d)

16

26.

Solve for x.

a)

3.6

b)

9.2

c)

11.5

d)

14.3

27.

In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"

a)

x=4, y=5

b)

x=3, y=7

c)

x=7, y=3

d)

x=6, y=9

28.

a)

23

b)

2.71

c)

29

d)

21

29.

Solve for x.

a)

13

b)

65

c)

16

d)

11

30.

a)

Arc RS = 41, m< STR = 82

b)

Arc RS = 82 , m< STR = 41

c)

Arc RS = 82, m< STR = 82

d)

Arc RS = 164, m< STR = 41

31.

Write the equation for the circle.

a)

$\left(x+1\right)^2+\left(y+4\right)^2=16$

b)

$\left(x-1\right)^2+\left(y-4\right)^2=16$

c)

$\left(x-1\right)^2+\left(y-4\right)^2=4$

d)

$\left(x+1\right)^2+\left(y+4\right)^2=4$

32.

$<E\ is\ 98\degree.\ Find\ <G.$

a)

98

b)

262

c)

82

d)

188

33.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

34.

Find the circumference of the circle

a)

87.82

b)

153.86

c)

43.96

d)

307.72

35.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

36.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

37.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

38.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

39.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

40.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

41.

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

a)

10

b)

3

c)

5

d)

25

42.

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

a)

(-9/2, -1)

b)

(-15/2, -6)

c)

(9/2, 1)

d)

(15/2, 6)

43.

What can you conclude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

44.

Find the radius r

a)

2

b)

3

c)

4

d)

5

45.

Value of x is equal to 90°

a)

True

b)

False

46.

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

a)

parallel

b)

adjacent

c)

supplementary

d)

perpendicular

47.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

48.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Note Sure

49.

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

a)

54

b)

36

c)

48

d)

42

50.

Find the perimeter of the quadrilateral.

a)

A

b)

B

c)

C

d)

D

Chapter 10 Review

Total questions: 50

Worksheet time: 4hrs 33mins

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