anonymous one year ago What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3.14 for π and round your answer to the nearest hundredth.

1. anonymous

0.65 inch 1.13 inches 6.80 inches 390.01 inches

2. blackstreet23

formula for arc length $\int\limits_{a}^{b} \sqrt{1+(f'(x))^2}$

3. anonymous

so just solve it??

4. blackstreet23

ohh i see

5. blackstreet23

i was having the wrong approach

6. blackstreet23

it is something like this http://www.regentsprep.org/regents/math/algtrig/atm1/arclengthlesson.htm

7. blackstreet23

|dw:1437620660464:dw|

8. blackstreet23

theta = r / s where s is the arc length

9. blackstreet23

since we want s then our equation is (theta * r)

10. blackstreet23

so it would be (65 * 6)

11. blackstreet23

but that is degrees and we want it in radians

12. blackstreet23

so we need to convert we do that by (65* pi)/180

13. blackstreet23

since they tell you use 3.14 for pi just do (65*3.14)/180

14. blackstreet23

that is approximately 1.13

15. blackstreet23

so plugin back

16. blackstreet23

1.13 * 6

17. blackstreet23

18. blackstreet23

rounding it up

19. blackstreet23

do you get why?

20. blackstreet23

ok good luck then!

21. anonymous

sorry i left my computer i understand it now thank you so much @blackstreet23