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

- anonymous

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- schrodinger

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- anonymous

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

- anonymous

now we have to convert 80 degree to radians

- anonymous

Divide it by pi

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## More answers

- anonymous

?

- anonymous

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

- anonymous

1.395?

- anonymous

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

- anonymous

oh

- anonymous

0.4pi

- anonymous

yeah about that
we are still not done though

- anonymous

Do we multiply that by 180?

- anonymous

no now we think, maybe draw a picture

- anonymous

|dw:1436971051817:dw|

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

Wow that makes alot more sense than it did before

- anonymous

yeah sorry i messed up earlier

- anonymous

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

- anonymous

kk

- anonymous

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

- anonymous

I chose A

- anonymous

Is that correct?

- anonymous

let me check

- anonymous

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

- anonymous

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

- anonymous

yeah you got it !

- anonymous

Thanks

- anonymous

yw
now i am listening to your your tube

- anonymous

I feel pretty good now. Finally! Lol!

- anonymous

Take your time.

- anonymous

what should i be looking for ?>

- anonymous

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

- anonymous

Lol!

- anonymous

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

- anonymous

i will look again
right or left side?

- anonymous

Left

- anonymous

You should see white paper

- anonymous

on the floor and me picking it up

- anonymous

ok looking now

- anonymous

You see it. I mean me Lol!

- anonymous

lol yeah

- anonymous

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

- anonymous

Yeah
It's a little embarrassing

- anonymous

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

- anonymous

Oh sorry

- anonymous

I had to grab something to eat

- anonymous

eating is good
you got any more before i run?

- anonymous

Yeah

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