## anonymous one year ago Use the arc length formula and the given information to find s. Show your work for full credit. r = 15 ft θ = 35° s = ?

1. ganeshie8

first convert the angle to more sophisticated units : radians

2. ganeshie8

know how to convert $$35$$ degrees to radians ?

3. anonymous

yes is it $\Pi/12$

4. anonymous

oh nvm i think i did the wrong number

5. anonymous

i did 15 rather than 35

6. anonymous

so im confused on how to convert 35 degrees to radians because i get a repeating decimal answer

7. anonymous

how do i do it @ganeshie8

8. anonymous

$x^ \circ \times \frac{ \pi }{ 180^\circ }$ to convert into radians

9. anonymous

where x is the given degree

10. anonymous

i get a decimal answer on the bottom though so i dont know where to go from there @iambatman

11. anonymous

because 35 isnt a factor of 180

12. anonymous

$7\Pi/36$?

13. ganeshie8

looks good!

14. anonymous

That's fine now use $s=r \theta$

15. anonymous

i got $105\Pi/36$

16. anonymous

it doesnt look right

17. ganeshie8

$\large s = r*\theta = 15*\dfrac{35\Pi}{180} = \dfrac{35\Pi}{12}$

18. ganeshie8