Question

Check my answer pleeeeeaase.
If the arc length shown in blue is 21.3 inches, then θ to the nearest hundredth of a radian is _203.4____.
(21.3)/(2*pi*6) = y/360
7668=y37.7
7668/37.7=203.39 which i rounded to 203.4

Is this correct? Is it in the correct format?Like in radians?

https://s.yimg.com/hd/answers/i/53c7c04603a54a5caa7cab6ff8d5ba1b_A.png?a=answers&mr=0&x=1418681976&s=8b7256e3d33799956ea6c377d4a972c3

Answer 1

Check your radius again...

Answer 2

12?

Answer 3

Right, the radius is 12, not 6.

Your setup is correct, but not if you want to directly find the angle measure in radians.
\[\frac{\text{arc length}}{\text{subtended angle}}=\frac{\text{circumference}}{\text{one revolution}}\]
which is equivalent to, in this case,
\[\frac{21.3\text{ in}}{\theta}=\frac{2\pi(12)\text{ in}}{2\pi\text{ rad}}\quad\color{lightgray}{\left(\text{or }\frac{2\pi(12)\text{ in}}{360\text{ deg}}\right)}\]

Answer 4

i got 0.20 or pi/15
I think im doing something wrong. @SithsAndGiggles

Answer 5

\[\begin{align*}\frac{21.3\text{ in}}{\theta}&=\frac{2\pi(12)\text{ in}}{2\pi\text{ rad}}\\\\
\frac{21.3\text{ in}}{\theta}&=\frac{\cancel{2\pi}(12)\text{ in}}{\cancel{2\pi}\text{ rad}}\\\\
\frac{21.3}{12}&=\theta\text{ rad}
\end{align*}\]

Answer 6

1.775 correct?

Answer 7

@SithsAndGiggles when i find 1.775 do I plug it in else where?

Answer 8

No, that's it, that's the angle in radians.