Question

What is the arc length?

Answer 1

@aum @zepdrix

Answer 2

Hey c:

Answer 3

hi :)

Answer 4

Think about this example really quickly.
If we wanted to find the arc length of 1/4 of the total distance around the circle, what would we do? :d

Answer 5

divide the circumference by 4

Answer 6

Good good.
Or multiply it by 1/4, yes?

Answer 7

If we wanted the arc length of 2/3's of the total circle, we would multiply our 16pi by 2/3.

Answer 8

yep

Answer 9

So in our problem, we want to know what `portion` of the circumference this 72 degrees actually represents.

So let's write it as a fraction.
\(\Large\rm \frac{72}{360}\)
Then total is 360, and we're dealing with 72 of those 360 degrees.

Answer 10

Lemme write it like this,
\(\Large\rm (portion)\cdot(circumference)=arc~length\)
hopefully it'll make a little sense.

So the portion is 72/360 (which can probably be reduced, but whatever).
And the circumference is 16pi.

So our arc length from A to B will be given by \(\Large\rm \frac{72}{360}\cdot 16\pi\)

What'dyou think? :d

Answer 11

sounds good :$

Answer 12

Too confusing? :o
Maf so harrrd.

So you need to simplify that a bit.
It should match up with one of your options.

Answer 13

it can reduce to 1/5. so would the answer be A- pi/5?

Answer 14

So the `portion` of the `total circumference` that we want is 1/5.
We want 1/5 of the pizza crust.

So you need to divide your 16pi by 5 to get 1/5 of that.

Answer 15

so its B c:

Answer 16

yay good job! \c:/

Answer 17

\(^o^)/ thanks for your help!