Question

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

Answer 1

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)

Answer 2

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

Answer 3

so far so good

Answer 4

now isolate theta

Answer 5

\[\theta =450/\pi\] Is this correct?

Answer 6

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

Answer 7

I got 143.23

Answer 8

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

Answer 9

Okay thank you

Answer 10

no problem