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Mathematics 21 Online
OpenStudy (anonymous):

help me please? Alg 2/trig??

OpenStudy (anonymous):

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-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 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time? Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 3π inches? Part 4: What is the coordinate point associated with this radian measure? You must show all of your work.

OpenStudy (anonymous):

I found 2π/3 for part 1

OpenStudy (anonymous):

do you know how to do the rest?? im completly lost

OpenStudy (welshfella):

there are 2 pi radians in a full circle and the minute hand moves 20 minutes which is 1/3 of a circle or 120 degrees this is 120pi/180 radians or 2pi/3 radians

OpenStudy (welshfella):

{art 2 use the formula length of arc = radius * angle in radaians = 4 * 2pi/3

OpenStudy (welshfella):

Part 3 again use the same formula 3Pi = 4 * C where C is the angle in radians

OpenStudy (welshfella):

OK?

OpenStudy (welshfella):

I won't give you the answers but i'll tell you if you are right

OpenStudy (anonymous):

3pi/4 for part 4??

OpenStudy (welshfella):

They want the coordinates in Part 4

OpenStudy (welshfella):

in hte form (x,y)

OpenStudy (welshfella):

what about part 2?

OpenStudy (anonymous):

so what would the corrinates be? and part 2, 4*2pi /3 or 8pi/3

OpenStudy (welshfella):

yes 8 pi/3 for part 2

OpenStudy (welshfella):

remember that the hand is 4 ins long

OpenStudy (anonymous):

im still so confused on the coorniate parts. it would look like the 3rd coordinate

OpenStudy (welshfella):

Oh hold on sorry the 3 pi is the actual distance travelled by the tip of the hand you need to work out how many radians that is equivalent to - thats the answer to part 3 what did you get for part 3?

OpenStudy (anonymous):

2.355 is the angle

OpenStudy (welshfella):

right or in terms of pi that's 3pi/4

OpenStudy (anonymous):

ya

OpenStudy (welshfella):

now lets mark that angle on the circle starting from 0 degrees

OpenStudy (anonymous):

how do i do that

OpenStudy (welshfella):

i'll try drawing again

OpenStudy (welshfella):

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