Question

Find each arc length. Round to the nearest hundredth.

Answer 1

@AZ .......i sommon you

Answer 2

i thought about it n i think im wrong im not shure

Answer 3

what is the measure of arc PS?

Answer 4

its looks to be the same as RS so 16?

Answer 5

no, i am asking about PS.
do you know?

Answer 6

no

Answer 7

\[180-16=164^\circ\]

Answer 8

ok, we have to use the arc length formula, but be4 we do that, we have to find what PTS is -- so were given a straight angle separated into 2 sections -- the \(16^o\) one, and \(x^o\). -- we know that that is \( 180^o \) , so subtract \( 16^o \) from that -- ^^ that dude did it above, so we get \( 164^o \)

Answer 9

PTS is 164

Answer 10

\[ s=2\pi \color{chocolate}{r} (\frac{\color{lightskyblue}{\theta}} {360}) \]

where
\[ \color{chocolate}{r}=11 \]
and
\[ \color{lightskyblue}{\theta} = 164^o \]

Answer 11

31.46?

Answer 12

close, but not really -- it would be \( 31.49 \)

Answer 13

so that would be answer for PS?

Answer 14

\( \overset\frown{PS}=31.49^o \), yes

Answer 15

thank you

Answer 16

you got it!

Answer 17

\[\theta=164^\circ=164\times \frac{ \pi }{ 180}=\frac{ 41 }{ 45} \pi radians\]
\[l=r \theta =11\times \frac{ 41 }{ 45 } \pi= \frac{ 451 }{ 45}\pi \approx 31.49 ~ft\]