Question

Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Part 1: How many radians does the minute hand move from 1:20 to 1:55?

Answer 1

How many radians does the minute hand move in one hour?

Answer 2

360 degrees? >_<

Answer 3

Yes, thats in degrees...In radians thats 2pi radians.

So you this concept, to figure out how many radians it moves from 1:20 to 1:55.

Hine: There are 35 minutes from 1:20 to 1:55.

Answer 4

I gave you a hint*

Answer 5

Need another hint?

Answer 6

uhm 1.2 pie? >_<

Answer 7

how did you get that?

Answer 8

Your answer of 1.2 radians is incorrect. How did you get 1.2 radians?

Answer 9

because if 2 pie is a full rotation than half a rotation would be 1 pie? >_<

Answer 10

but that thinking is correct if you wanted 30 minutes, so the rotation is 1 pi.

Your time is 35 minutes (1:20 to 1:55).

Answer 11

One more hint: 35 minutes is 35/60 or 7/12 of an hour.

Answer 12

So now answer your question.

Answer 13

i must be doing something wrong because i got 1.2 again, i did like 1/6 to try and get the extra that i needed

Answer 14

Watch........

Answer 15

For 35 minutes, the minute hand moves 35/60 or 7/12 of 2pi radians. Since it moves 2pi radians for 60 minutes. So 35 minues is a 7/12 fraction of an hour.

Si in 35 minutes, the minute hand moves 7/12 of 2pi...

so 7/12 x 2pi = 14 pi/12 = 7pi/6 radians as your final answer.

Answer 16

uhmm i think i understand >_<

Answer 17

You think you understand? Not good enough. What part don't you understand?

Answer 18

so is the answer not 7pi/12 because its not simplified enough?

Answer 19

Final answer is 7pi/6

Answer 20

It is 7/12 multiplied by 2pi which gives you 14pi/12.

When you reduce 14pi/12 you get 7pi/6 as your final answer.

Answer 21

Okay (: thank you very much

Answer 22

does it make perfect sense now?

Answer 23

Yes it does ^_^