Question

@jhonyy9

Answer 1

am not that good at trigonometry so bare w me :)

Answer 2

in part 1 i am guessing that since a circle has a total of 360 degrees then we will have to divide am not sure what...

Answer 3

remember there are 60 minutes for a full hour and hence a revolution of 360 degrees
So the time difference 3:35 to 3:55 is 20 minutes. What angle in degrees does this make?

Answer 4

would it be like 360/60 = 6 and then multiply by 20?

Answer 5

Other way round, we need the fraction of 360 degree revolution.
Then we convert to radians:
\[\pi ~radians = 180^{0} \rightarrow 1^0 = \frac{ \pi ~rad}{ 180 } \rightarrow x^0 = \frac{ x \pi }{ 180 } rad\]

Answer 6

so what does x equal to so we can simplify right?

Answer 7

x is just the angle in degrees. Once you find the right angle the hand has moved, you can convert it to radians by multiply pi with the angle in degrees divided by 180

Answer 8

is this correct? for part 1
1st to find the degree a circle have 360 degree so 360/60 which equals 6 which means that we have 6 per min so for 5 mins we have 5 * 6 = 30 degrees
And now to convert it to radians so 30/180 = 1/6 so the measure would be pi/6 is that right or did i do something wrong?

Answer 9

well problem is you didn't have 5 minutes, did you?

Answer 10

will than you check my posted image between 9 and 6 has a right angle with measure of 90 degree - yes ?

Answer 11

oh sorry my mistake i thought the wanted to find the 5 mins so the answer is 6 degrees per min and we need to convert that to radians ?

Answer 12

Correct jhony

Answer 13

well from 3:35 to 3:55 that is 20 ,minutes. So if you say 6 degrees per minute. Do 6 x 20 for that time = 120 degrees and convert to radians.

Answer 14

so now just numerate the angle measure between 35 and 55 how many degrees has

Answer 15

yes mww exactly so

Answer 16

there are 120 degree

Answer 17

5 minutes mean 30 degrees

Answer 18

I'll now help for question (ii)
The tip of the minute hand forms an arc of a circle as it moves. The length of arc is given by this equation
\[l = r \theta \] where r is the radius and theta is your angle of motion.
So plug in your values here.

Answer 19

so 120 degrees is 2.0944
So for part 1 the answer would be
1st to find the degree a circle have 360 degree so 360/60 which equals 6 which means that we have 6 per min so for 20 mins we have 20 * 6 = 120 degrees
And now to convert it to radians so 30/180 = 1/6 so the measure would be 2.0944 correct?

Answer 20

I recommend you write your answer in exact terms if you can (i.e as multiples of pi)

Answer 21

yes will using pi is more usefully

Answer 22

For part 2 what does r equal to and theta is 120 correct?

Answer 23

will i gtg - good luck

bye bye and was my pleasure

Answer 24

Thank you so much Jhony i will write testimonial for you 2 after this

Answer 25

ok good bye and ty

Answer 26

go back to your question. your hand is sweeping out an ar