Quiz about Mod 16/17 Review

Question 1

You want to buy the largest pizza in Northern Utah.  You find a pizza that measures 75.36in around.  What is the area that the pizza covers?

Accepted Answer

452.16 in sq

Answer

12 in sq

Answer

24 in sq

Answer

144 in sq

Question 2

A pizza parlor has a large metal pizza for a sign. The sign has a diameter of 6 feet. Which of the following best represents the area of the sign?

Accepted Answer

28.3 ft2

Answer

113 ft2

Answer

18.84 ft2

Answer

16 ft2

Question 3

A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet?

Accepted Answer

15.7 ft

Answer

7.85 ft

Answer

19.63 ft

Answer

31.4 ft

Question 4

A cylindrical barrel has a diameter of 19.875 inches. Which of the following is the best estimate of the circumference of the barrel in feet?

Accepted Answer

5 ft

Answer

10 ft

Answer

2 ft

Answer

1 ft

Question 5

The length around the outside of a circle is what?

Accepted Answer

circumference

Answer

radius

Answer

diameter

Answer

angle

Question 6

If my radius is 10ft, what is my diameter?

Accepted Answer

20ft

Answer

5ft

Answer

31.4ft

Answer

62.8ft

Question 7

Find the radius of a circle if the area is 254.5 cm²

Accepted Answer

9cm

Answer

3cm

Answer

12cm

Answer

14cm

Question 8

Find the radius of a circle if the circumference is 37.7 cm

Accepted Answer

6cm

Answer

2cm

Answer

3cm

Answer

5cm

Question 9

The London Eye has a diameter of 120 meters. If you are sitting in one of the capsules, about how far do you travel in one rotation of the Ferris wheel?

Accepted Answer

^{380 meters}

Answer

180 meters

Answer

^{11,300 meters}

Answer

125 meters

Question 10

How do you convert from degrees to radians?

Accepted Answer

Multiply by pi/180*

Answer

Multiply by 180*/pi

Answer

You can't convert from degrees to radians

Question 11

How do you convert from radians to degrees?

Accepted Answer

Multiply by 180*/pi

Answer

Multiply by pi/180*

Answer

You can't convert from degrees to radians

Question 12

How many radians does the minute hand of a clock rotate through over 10 minutes? How many degrees?
(Draw a picture!)

Accepted Answer

pi/3 radians; 60 degrees

Answer

pi/4 radians; 45 degrees

Answer

pi/2 radians; 90 degrees

Answer

pi/3 radians; 75 degrees

Question 13

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?
(Draw a picture!)

Accepted Answer

pi radians; 180 degrees

Answer

pi/3 radians; 60 degrees

Answer

pi/2 radians; 90 degrees

Answer

pi/3 radians; 75 degrees

Question 14

Two or more circles with the same center

Accepted Answer

Concentric circles

Answer

Happy circles

Answer

lots of circles

Answer

center circles

Question 15

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

Accepted Answer

94

Answer

47

Answer

74

Answer

123

Question 16

The distance along an arc measured in linear units.

Accepted Answer

arc length

Answer

area of a sector

Answer

arc of a circle

Answer

sector of a circle

Question 17

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

Accepted Answer

15.7 square units

Answer

0.3 square units

Answer

19.7 square units

Answer

50.3 square units

Question 18

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

Accepted Answer

(x - 7)² + y² = 9

Answer

x² + (y -7)² = 9

Answer

(x - 7)² + y² = 3

Answer

x² + (y -7)² = 3

Question 19

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

Accepted Answer

2

Answer

4

Answer

3

Answer

16

Question 20

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

Accepted Answer

(3,2)

Answer

(-3, -2)

Answer

(-2, -3)

Answer

(2, 3)

Question 21

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

Accepted Answer

(-2, -3)

Answer

(2, 3)

Answer

(3, 2)

Answer

(-3, -2)

Question 22

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

Accepted Answer

5

Answer

4

Answer

3

Answer

25

Question 23

What is the center of the circle with equation x² + y² = 1?

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

not enough information

Question 24

What is the equation of the circle, with center (-4,5) and radius 6 units?

Accepted Answer

(x + 4)² + (y - 5)² = 36

Answer

(x - 4)² + (y + 5)² = 6

Answer

(x - 4)² + (y + 5)² = 36

Answer

(x + 4)² + (y - 5)² = 6

Question 25

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

Accepted Answer

Center (4,3)
Radius = 5 units

Answer

Center (4,3)
Radius = 25 units

Answer

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

Answer

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

Question 26

Which graph corresponds to
(x-8)²+ (y+2)²=

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 27

Which graph corresponds to
(x)²+ (y-6)²=9

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 28

Which graph corresponds to
(x-4)²+ (y+4)²=25

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 29

Determine the best answer: In order to convert from general form to standard form, you must ___________.

Accepted Answer

complete the square

Answer

Multiply out

Answer

expand

Answer

factor

Question 30

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

Accepted Answer

C = (5,-4) r = 7

Answer

C = (-5,4) r = 7

Answer

C = (-4,5) r = 49

Answer

C = (5,-4) r = 49

Question 31

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

Accepted Answer

(x+3)² + (y-6)² = 25

Answer

(x-3)² + (y+6)² = 25

Answer

(x-3)² + (y+6)² = 45

Answer

(x+3)² + (y-6)² = 5

Question 32

Determine the equation of a circle with center (5,-3) and radius of 9

Accepted Answer

x²+y²-10x+6y-47=0

Answer

x²+y²-10x+6y-47=4

Answer

x²+y²-10x-6y-47=0

Answer

2x²+y²+10x+6y-47=0

Question 33

The vertex is sometimes halfway between the focus and directrix.

Accepted Answer

false

Answer

true

Question 34

A parabola is the set of all points equidistant from the focus and the directrix.

Accepted Answer

true

Answer

false

Question 35

Find the vertex, focus, and directrix of the parabola: x² = 28y

Accepted Answer

Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

Answer

Vertex: (0, 0) Focus: (7,0) Directrix: y=7

Answer

Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

Answer

Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

Question 36

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4.

Accepted Answer

y = (1/16)x²

Answer

y2 = 4x

Answer

y2 = 16x

Answer

y = (1/4)x²

Question 37

Find the vertex, focus, and directrix of the parabola: -(1/40)x² = y

Accepted Answer

Vertex: (0, 0) Focus: (0, -10) Directrix: y = 10

Answer

Vertex: (0, 0) Focus: (-20,0) Directrix: x = 10

Answer

Vertex: (0, 0) Focus: (0,10) Directrix: y=10

Answer

Vertex: (0, 0) Focus: (0,10) Directrix: y=-10

Question 38

What is the radius of a unit circle?

Accepted Answer

1

Answer

2

Answer

1/2

Answer

0

Question 39

cos 900o

Accepted Answer

-1

Answer

1

Answer

0

Answer

und

Question 40

tan 450o

Accepted Answer

undefined

Answer

0

Answer

1

Answer

-1

Question 41

Tangent is...

Accepted Answer

d. both a and b

Answer

a. Opposite/Adjacent

Answer

b. sine/cosine

Answer

c. neither a or b

Question 42

What is the degree equivalent to -135^o

Accepted Answer

225o

Answer

215o

Answer

235o

Answer

45o

Mod 16/17 Review

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