Free Printable Geom Unit 10 Study Guide

1.

a)

Radius

b)

Diameter

c)

Center

d)

Chord

2.

a)

Radius

b)

Diameter

c)

Center

d)

Chord

3.

a)

Radius

b)

Diameter

c)

Center

d)

Chord

4.

a)

Radius

b)

Diameter

c)

Center

d)

Chord

5.

What is the radius?

a)

18

b)

72

c)

38

d)

14

6.

The distance from the center of the circle to any point on the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

7.

The distance all the way across the circle, but through the center, is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

8.

A diameter is also a chord.

a)

True

b)

False

9.

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

a)

diameter

b)

chord

c)

radius

d)

circumference

10.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

11.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

12.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

13.

What is A?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

14.

What is H?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

15.

What is BJ?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

16.

What is DG?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

17.

What is arc HF?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

18.

What is arc DF?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

19.

What is arc HCG?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

20.

Which is the center?

a)

K

b)

H

c)

$\overline{JI}$

d)

I

21.

What is $\angle JIH$ ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

22.

Which is a chord?

a)

$\overline{KL}$

b)

$\overline{HG}$

c)

$\overline{GI}$

d)

$\overline{JL}$

23.

What is $JHI$ ?

a)

Minor Arc

b)

Semicircle

c)

Major Arc

d)

Point of Tangency

24.

Which is secant?

a)

$\overline{GI}$

b)

$\overline{GJ}$

c)

$\angle JKL$

d)

$\overline{JK}$

25.

What is $JH$ ?

a)

Chord

b)

Minor Arc

c)

Major Arc

d)

Semicircle

26.

Which is a point of tangency?

a)

K

b)

L

c)

H

d)

J

27.

What is $\overline{GJ}$ ?

a)

Secant

b)

Minor Arc

c)

Tangent

d)

Radius

28.

Which is a Major Arc ?

a)

$KIH$

b)

$JL$

c)

$LHJ$

d)

$HI$

29.

What is $\overline{JI}$ ?

a)

Radius

b)

Diameter

c)

Central Angle

d)

Tangent

30.

Which is a central angle?

a)

$\angle JKL$

b)

$\angle JIH$

c)

$\angle JGI$

d)

$\angle JLK$

31.

What is $\overline{JK}$ ?

a)

Chord

b)

Diameter

c)

Secant

d)

Radius

32.

The radius of the circle is 9 meters. What is the circle's circumference?

a)

9 meters

b)

28.26 meters

c)

56.52 meters

d)

18 meters

33.

What is the circumference of a circle with a radius of 54 m?

a)

339.12 m

b)

169.56 m

c)

84.78 m

34.

Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?

a)

15.7 cm

b)

10 cm

c)

2.5 cm

d)

31.4 cm

35.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

36.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

37.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

50.27 m²

38.

Find the area of a circle if you are given a diameter of 2.5 inches. Use 3.14 for π and round to the nearest tenths place

a)

5 inches²

b)

4.8 inches²

c)

4.89 inches²

d)

4.9 inches²

39.

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?

a)

area

b)

circumference

c)

neither

40.

a)

a

b)

b

c)

c

d)

d

41.

a)

A

b)

B

c)

C

d)

D

42.

Find the length of the bold arc. Leave $\pi$ in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

43.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

44.

Find x

a)

10

b)

5

c)

18

d)

9

45.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

46.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

47.

a)

278⁰

b)

297⁰

c)

90⁰

d)

105⁰

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

52.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

53.

Find the perimeter of the triangle.

a)

A

b)

B

c)

C

d)

D

54.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

55.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

56.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

57.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

58.

Find the value of "x".

a)

23

b)

15

c)

8

d)

38

59.

Find the value of "x"

a)

6

b)

4

c)

8

d)

2

60.

Find the value of "x"

a)

8

b)

12

c)

4

d)

2

61.

Find the length of segment AB

a)

16

b)

5

c)

16

d)

.5

62.

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)

63.

In the equation (x-4)²+(y-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

64.

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

65.

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

a)

242

b)

11

c)

121

d)

22

66.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

67.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

68.

See Picture

a)

A

b)

B

c)

C

69.

See Picture

a)

A

b)

B

c)

C

d)

D

70.

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

Geom Unit 10 Study Guide

Total questions: 70

Worksheet time: 3hrs 35mins

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