Question

***WILL MEDAL***
Find the length of an arc of 40° in a circle with an 8 inch radius.

a) 8pi/9 inches
b) 16pi/9 inches
c) 64pi/9 inches

Answer 1

@UsukiDoll

Answer 2

ok so first we need the arc length formula which is
\[s = \theta r \]
where s = arc length, \[\theta \] = angle , and r is the radius.

Answer 3

Oh wow they never gave me a formula for this

Answer 4

so we are given
radius = 8
and our angle is 40 degrees, but I need that in radians
so I need to convert
\[40 \times \frac{\pi}{180}\]
\[\frac{40 \pi}{180}\] \[\frac{2\pi}{9}\]

Answer 5

I think we almost got our arc length
\[s= \frac{2\pi}{9} \times 8\]

Answer 6

just gotta multiply
what's 2pi x 8 ?

Answer 7

Wait a sec I need to get my calculator

Answer 8

brb

Answer 9

actually... we can just leave the pi part alone ._.
and just calculate 2 x 8 for the numerator.

Answer 10

Sorry. I'm back now

Answer 11

2x8=16

Answer 12

yes so our arc length is
\[s= \frac{16 \pi}{9}\]

Answer 13

So that makes the answer B

Answer 14

Thank you so much. Now I'm sure I know how to do this. Especially since now I know what the formula is.

Answer 15

hmmm... Why weren't you given the formula? It was supposed to be given to you x_X

Answer 16

I know, but they didn't. At least, it didn't show it on the lesson.

Answer 17

I'll be right back. It'll be a few minutes

Answer 18

gtg

Answer 19

k bye... wow shame on whoever for not giving it. -_-!

Answer 20

I'm back