Question

A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit. @amistre64

Answer 1

this question has been tossed around the OS a few times that i can recall.

what are some of your thoughts about a solution?

Answer 2

@amistre64 i saw but i don't understand at all.... like i already read 4 ppl and it doesnt go through my head

Answer 3

what is the full angle of a circle?

Answer 4

360 ?

Answer 5

yes, 360, and we divide it in to 16 equal parts ... what is 360/16?

Answer 6

why do we divide it in 16 parts ?

Answer 7

for the cars ?

Answer 8

thats what the information tells us it is divide by. 16 cars makes 16 arcs

Answer 9

ok so 22.5

Answer 10

since the central angle is in the center, we are dividing 360 degrees into 16 parts

Answer 11

22.5 is good for a central angle

now for arc length, what is the circumference of the entire wheel?

Answer 12

what was the formula for circumfrence again ?

Answer 13

you should already have that in your material, or a quick google search will help you remember it better than me giving it to you.

Answer 14

2 * 2.14 * 20 = 85.6

Answer 15

3.14 but yes ....

2pi r = 40pi for the full circle, and we want 1/16 of it for the arclength between cars

Answer 16

i got 125.6 ?

Answer 17

125.7 so thats close enough for me for the circumference, and what is 1/16 of that?

Answer 18

7.85

Answer 19

yep

now for area, total area of a circle, divided by 16

what is the total area of the circle?

Answer 20

1256 ?

Answer 21

1256 / 16 = 78.5

Answer 22

1256.6 is the total area of the circle, and yes 78.5 gets us the sectors area

Answer 23

now we will have to redo those since they want to have those rnded to 2 decimal points

Answer 24

ohhhhhhh ok ! thank you so much !

Answer 25

oh

Answer 26

22.5 is fine as is

the others are rnded from: 40pi/16 and 400pi/16

Answer 27

ok

Answer 28

wait what ? lol im confused ... this last part repeat please ?

Answer 29

no need to repeat, its still posted above. the question asks you to rnd the results to 2 decimal places.

Answer 30

isnt 7.85 good ?

Answer 31

or would it have to be 7.9

Answer 32

40pi/16 = 7.8539...

400pi/16 = 78.5398...

Answer 33

so .85 and .54 are what i would do

Answer 34

ok thanks :)

Answer 35

yw