Question

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground?

a) 2.88pi inches
b) 5.78pi inches
c) 11.56pi inches

Answer 1

I tried to divide 80 by 26 and then multiplying that answer by 180, but it didn't work out so well...

Answer 2

now we have to convert 80 degree to radians

Answer 3

Divide it by pi

Answer 4

?

Answer 5

no this time we are converting the other way
\[80\times \frac{\pi}{180}\]

Answer 6

1.395?

Answer 7

that comes out to be
\[\frac{4\pi}{9}\] radians

Answer 8

oh

Answer 9

0.4pi

Answer 10

yeah about that
we are still not done though

Answer 11

Do we multiply that by 180?

Answer 12

no now we think, maybe draw a picture

Answer 13

we want \(a\) the arc length
the radian measure is arc length over the radius so
\[\frac{a}{26}=.4\pi=1.4\] so
\[a=26\times 1.4\]

Answer 14

http://www.wolframalpha.com/input/?i=26*1.4
you got a choice that is close to 36.4?

Answer 15

oh wait, i see all your answers have \(\pi\) in them

Answer 16

\[a=26\times \frac{9}{4}\pi=11.5\pi\]

Answer 17

Wow that makes alot more sense than it did before

Answer 18

yeah sorry i messed up earlier

Answer 19

Umm. There's another question. I have already answered it, but I want to make sure I'm doing this the right way

Answer 20

kk

Answer 21

If the length of an arc is 12pi inches and the radius of the circle is 10 inches, what is the measure of the arc?

a) 216 degrees
b) 270 degrees
c) 288 degrees

Answer 22

I chose A

Answer 23

Is that correct?

Answer 24

let me check

Answer 25

the radian measure is
\[\frac{12\pi}{10}=1.2\pi\]

Answer 26

then \[1.2\pi\times \frac{180}{\pi}=1.2\times 180=216\]

Answer 27

yeah you got it !

Answer 28

Thanks

Answer 29

yw
now i am listening to your your tube

Answer 30

I feel pretty good now. Finally! Lol!

Answer 31

Take your time.

Answer 32

what should i be looking for ?>

Answer 33

Me dropping my music and then picking it up on the left side of the screen somewhere in the middle of the song

Answer 34

Lol!

Answer 35

I should be the last person on the row of trumpets. On the outside since I'm leader

Answer 36

i will look again
right or left side?

Answer 37

Left

Answer 38

You should see white paper

Answer 39

on the floor and me picking it up

Answer 40

ok looking now

Answer 41

You see it. I mean me Lol!

Answer 42

lol yeah

Answer 43

you are hidden mostly but i did see you pick up the sheet!

Answer 44

Yeah
It's a little embarrassing

Answer 45

you got more math questions are are you ok? i gotta run soon

Answer 46

Oh sorry

Answer 47

I had to grab something to eat

Answer 48

eating is good
you got any more before i run?

Answer 49

Yeah