## anonymous one year ago If the arc length shown is 15 feet, find theta to the nearest hundredth of a degree: http://tinyurl.com/ocy3hpc

1. jim_thompson5910

Formula $\Large s = \frac{\theta}{360}*2*\pi*r$ s = arc length = 15 theta = angle pi = 3.14 approximately r = radius (which looks to be about 6 feet? It's not 100% clear)

2. anonymous

Yes it is 6 feet. $15=\theta/360 \times2\times \pi \times 6$ is this correct?

3. jim_thompson5910

so far so good

4. jim_thompson5910

now isolate theta

5. anonymous

$\theta =450/\pi$ Is this correct?

6. jim_thompson5910

I got that too. Now approximate that and round to the nearest hundredth.

7. anonymous

I got 143.23

8. jim_thompson5910

I'm getting 450/pi = 143.2394487 so that would round to 143.24

9. anonymous

Okay thank you

10. jim_thompson5910

no problem