Question

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

Answer 1

let the radian angle be x then
\[x\times r=\text{arc length}\]
r=6 cm
arc length=32
find x in radians?

Answer 2

32*6=192 degrees

Answer 3

OK so I can convert this?

Answer 4

192 degrees (pi/180)?

Answer 5

Do you see errors? yet?

Answer 6

\[x\times 6=32\]
\[x=\frac {32}{6}\]
and you don't have to convert to radians, it's already in radians
when x=2pi then the arc length is perimeter

Answer 7

That's less complicated than expected. I see where I confused myself now.

Answer 8

good:)

Answer 9

My solution sheet has theta =something else

Answer 10

:( uh oh

Answer 11

what's the answer given as?

Answer 12

theta =16/3

Answer 13

Recall the formula s = rθ, where θ is measured in radians, s is the length of the arc of the circle intercepted by the central angle θ, and r is the radius. ( I think this will help).

Answer 14

Any body wanna comment?