Question

Use the arc length formula and the given information to find s. Show your work for full credit.
r = 20 ft θ = 19° s = ?

Answer 1

What is s?

Answer 2

thats what i have to find

Answer 3

19 deg=19pi rad
s=20*19pi

Answer 4

thats where i got to.. im not sure where to go from this point

Answer 5

Oh, its the arc lenght ok.
The radian transformation is not 19pi.
Its \[\frac{19 \times \pi}{180}\]Then the arc lenght is 20 times that.

Answer 6

wait.. im comfused

Answer 7

When you transform degrees in radians (because the formula r angle just works with radians) you use pi/180 because pi is the equivalent of 180 with radians, if you divide pi by its equivalent in degrees, you will divide the angle in 180 angles, and each one of those is one degree, but showed in radians because we divided pi, now if you have 19 degrees, and you know that one degree in radians is pi/180 you just multiply to get 19 in radians too.

Answer 8

so its not 20(19pi)
itd be 19 x pi / 180
???

but what would i do from there?

Answer 9

No, its 20(19pi/180)

Answer 10

That is s already isnt that what you want?

Answer 11

yah but i dont have to solve it?

Answer 12

thatd be the final answeR?

Answer 13

Yes, you do 19*(pi/180) to get the angle in readians and then you multiply that by 20 to get the lengh.

Answer 14

so for the answer would i just put ..

20(19pi/180) ??

Answer 15

0.105*pi multiplied 20 = 2.10pi

Answer 16

??

Answer 17

Yes, thats it

Answer 18

ok thank you!!