A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4inchlong 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 degrees if it were to move 3pi inches?
Part 4: What is the coordinate point associated with this radian measure?
anonymous
 one year ago
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4inchlong 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 degrees if it were to move 3pi inches? Part 4: What is the coordinate point associated with this radian measure?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got the first part I just need help on the second. The answer for the first part is 2π/3 radians

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm getting 2pi/3 as well

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what is the circumference of the entire circle?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's the number of degrees in a full rotation

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I want the perimeter of the circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It doesn't give one. I can only think of 360

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1formula C = 2*pi*r

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the clock's minute hand has a length of 4 so r = 4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm talking about the minute hand's circle, not the unit circle

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's the distance around the whole circle

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1but we only want a piece of that circle (from 35 min to 55 min)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay how would we find that?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how did you find 2pi/3 from the previous part?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[360\div60=6\] \[6\times20=120\] so 120° on the circle has 2π/3 radians

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1good, so 120 degrees is 120/360 = 1/3 of the full circle

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1multiply 1/3 by the circumference to get the distance just from 35 to 55

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 8.37 (rounded)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's the approximate distance around the circle edge from 35 to 55

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you :) could you help me with part three too?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1The exact circumference is C = 2*pi*4 = 8pi agreed?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.18pi inches is a full circle the minute hand travels 3pi inches what fraction of the circle does it travel?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it's the other way around 3pi/8pi = 3/8

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so it travels 3/8 around the circle

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.13/8 of 2pi radians = ???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2π }{ 1 }\times \frac{ 3 }{ 8 }?\] \[\frac{ 6π }{ 8 }=\frac{ 3π }{ 4 }?\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that is the radian measure

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh and the points would be\[(\frac{ √2 }{ 2 }, \frac{ √2 }{ 2 })\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1keep in mind that the radius is not 1 it's 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought we were looking for the radian measure. The next part is the points of that radian measure.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes it's points on a circle with radius 4
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.