## anonymous one year ago What is the arc length of a circle that has a 7-centimeter radius and a central angle that is 40 degrees? Use 3.14 for π and round your answer to the nearest hundredth.

1. anonymous

@triciaal

2. DanJS

40 out of 360 is the ratio of the circumference you are looking for

3. DanJS

Circumference = 2*pi*7 take 40/360 of that

4. triciaal

|dw:1438914335003:dw|

5. triciaal

to the nearest hundredth means to 2 decimal places. calculate to 3 . if the 3rd is 5 or more add 1 to the 2nd. if the 3rd is less than 5 just drop it.

6. anonymous

@DanJS Circumference=43.96 What do you mean by "take 40/360 of that"?

7. anonymous

@triciaal I don't really understand what I'm supposed to do...

8. DanJS

40/360 is 1/9 of the total circle

9. DanJS

so you want a ninth of the circumference for a 40 degree arc

10. DanJS

since you using decimals, 40/360 is about 0.11 so take 0.11 times circumference

11. triciaal

the length of the arc varies with the angle complete circle = 360 degrees and the circumference is 2*pi* r set up ratio and solve for l

12. triciaal

|dw:1438914919428:dw|

13. triciaal

are you ok now?

14. anonymous

@DanJS Thank you so much! @triciaal Yes, thanks a ton for your explanation!

15. triciaal

you are welcome

16. DanJS

welcome