Question

In the gym, there is a scale that measures people's weight. The needle is 22 cm long and rotated 124 degrees when Evelyn stepped on it. How far did the needle travel as it rotated?

Answer 1

1364π
2728π
682pi/45
45pi/682

Answer 2

@campbell_st @ranga

Answer 3

@hartnn

Answer 4

@amistre64

Answer 5

so basically you need length of arc
\(s= r\theta \)

first convert 124 degrees to radians
because \(\theta \) there needs to be in radians

\(124^o = 124\times \dfrac{\pi^r}{180^o} = ... \)

Answer 6

then you just multiply that answer by 22

Answer 7

so 110.88?

Answer 8

@hartnn

Answer 9

please keep \(\pi \) as \(\pi\) only
just simplify
22*124/180

Answer 10

so 15.15?

Answer 11

what do i do next? @hartnn

Answer 12

which is also 682/45

Answer 13

OMG! thank you!!! so I don't have to use the pi?

Answer 14

1 complete circle = 2 pi r radians = 360 degrees

for 124 degrees distance travelled = (124 / 360) * 2 pi r

plug in r = 22

which simplifies to 682pi/45

Answer 15

we kept pi as pi
\(22\times 124\pi/180 = 681\pi /45\)

Answer 16

682***

Answer 17

Okay that totally makes more sense thank you!

Answer 18

welcome ^_^