Quiz 11:11.1-11.4

​Quiz 11: 11.1-11.4

Multiple Choice

What does "circumference" mean? #1

• Space a circle takes up

• Distance around a circle

• Line from one side of a circle to another

• Line from center of circle to side

Multiple Choice

Does this picture show the diameter or radius of a circle? #2

• Diameter

• Radius

Multiple Choice

What is the area of a circle with a diameter of 16 cm? #3

• 66 cm

• 200.96 cm

• 66.5 cm

• 10 m

Multiple Choice

What does "area" of a circle mean? #4

• The space a circle takes up

• The distance around a circle

• a line from one side of a circle to another

• a line from center of circle to side

Multiple Choice

A circle has a radius of 6 inches. What is the area of the circle? (Best Choice) #6

• 3π or about 9.42 in²

• 6π or about 18.84 in²

• 12π or about 37.68 in²

• 36π or about 113.04 in²

Multiple Choice

*** Write down in notes*** If the area of a circle is known,  find the radius of a circle if its area is 24. Round your answer to the nearest tenth. $$r=\sqrt{\frac{Area}{\pi}}$$  #7

• .1

• .4

• 2.8

• 7.6

Multiple Choice

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.

Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure? #8

• A = (2πr)(r)

• A = (2πr)(2r)

• $$A=\left(\frac{1}{2}\right)\left(2\pi r\right)\left(r\right)$$

• $$A=\left(\frac{1}{2}\right)\left(2\pi r\right)\left(r^2\right)$$ A =(2πr)(r2)

Multiple Select

Which statements are true regarding the area of circle D? Select two options. #9

• The area of the circle depends on the square of the radius.

• The area of circle D is $$36\pi\ cm^2.$$  

• The area of circle D is $$324\pi\ cm^2.$$  

• The area of the circle depends on the square of pi.

• The area of the circle depends on the central angle.

Multiple Choice

Find the length of the radius given the arc length of arc AB shown. Round your answer to the nearest tenth. #11

• 53.4 cm

• 154.3 cm

• 24.6 cm

• 12.8 cm

Multiple Choice

Find the arc length. Round to the nearest tenth. DO NOT FORGET YOUR UNITS. #12

• 33.0 yd

• 16.5 ft

• 33.0 ft

• 17.8 yd

Multiple Choice

What is the Arc Length equation? #16

• $$ArcLength\ =\ \frac{central\ angle\ measure}{360}\left(2\pi r\right)$$  

• $$ArcLength\ =\ \left(2\pi r\right)$$  

• $$ArcLength\ =\ \frac{central\ angle\ measure}{180}\left(\pi\right)$$  

• $$ArcLength\ =\ \frac{central\ angle\ measure}{180}\left(\pi d\right)$$  

Multiple Choice

is the formula for? #20

• arc length

• area of a sector

• area of a segment

• arc measure

Multiple Choice

What is the area of the shaded sector? Round your answer to the nearest hundredth. #21

• 19.28

• 163.85

• 655.39

• None of these

Multiple Choice

$$USE\ S=\frac{\theta2\pi r}{360\degree}\ to\ find\ \ \theta first$$  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 the nearest tenth of a square unit. #22

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

Multiple Choice

What does the 'a' stand for in the following formula? #24

• area 

• apossum

• altitude

• apothem

Multiple Choice

find the area of the kite using the formula: A = 1/2 * d₁*d₂. #25

• 19.5

• 78

• 39

• 27

Multiple Choice

Find the area. #26

• 96 cm²

• 48 cm²

• 36 cm²

• 48 cm

Multiple Choice

What is the area? #28

• 4.93 cm²

• 29.58 cm²

• 9.86 cm

• 4.93 cm

Multiple Choice

Find the area of the regular polygon. #30

• 24 cm²

• 48 cm²

• 120 cm²

• 240 cm²

Multiple Choice

Find the area of the following polygon. #31

• 108 u²

• 1782 u²

• 445 in²

• 891 in²

Multiple Choice

Which definition best matches the term population density? #34

• human beings in general

• number of people in a particular area

• A measurement of people for a specific area

• All the inhabitants of a particular area

Multiple Choice

In which state is air pollution more likely to be a bigger problem? Vermont or Rhode Island? #35

• Vermont. It has much greater population density, which contributes to more air pollution from cars, factories and homes.

• Rhode Island. It has much greater population density, which contributes to more air pollution from cars, factories and homes.

Multiple Choice

$$\frac{17,620}{1}=\frac{P}{468},\ cross\ multiply$$  There are approximately 17,620 people per square mile in New York City. If New York City is 468 square miles, approximately how many people live in New York City? #37

• 17,620

• 8,246,160

• 37

• .027