Question

Convert the radian measure to degree measure. Use the value of π found on a calculator and round answers to two decimal places. 9pi/12

Answer 1

pi is 180 degrees, so to convert, do this:
\[\frac{9\pi}{12}*\frac{180}{\pi}=\frac{9*180}{12}=135\]

Answer 2

thank you! i have 2 more questions i dont understand :(

Answer 3

Convert the angle 13°38'35" to decimal degrees and round to the nearest hundredth of a degree.

Answer 4

and this one Use the arc length formula and the given information to find s. Show your work for full credit.
r = 15 ft θ = 35° s = ?

Answer 5

how many minutes are in a degree?

Answer 6

i dont know im lost this is new to me

Answer 7

60 minutes in a degree

Answer 8

ok got it so like in an hour

Answer 9

but i dont get how to get the answers

Answer 10

to convert to Radians from angles given in Degrees => \(\bf\Large Radians = \cfrac{\textit{degrees} \times\pi}{180}\)

Answer 11

so 13pi/180

Answer 12

hhhmm,,ohh, you have radians, and you need degrees, ok

Answer 13

9pi/12 I see

Answer 14

wait what? :o

Answer 15

well, isn't it what you have? \(\bf \cfrac{9\pi}{12}\)

Answer 16

that's a Radian measure

Answer 17

for which one?

Answer 18

"Convert the radian measure to degree measure. Use the value of π found on a calculator and round answers to two decimal places. 9pi/12"
^
tis what you typed in

Answer 19

to find the degrees unit for a Radian value then => \(\bf Degrees = \cfrac{\textit{radians}\times 180}{\pi}\)

Answer 20

ok so what do i put in where?

Answer 21

well, you were given \(\bf \cfrac{9\pi}{12}\)
so you put that there :)

Answer 22

wait which one was the degrees?? :o

Answer 23

dunno, you'd need to get the value => \(\bf Degrees = \cfrac{\frac{9\pi}{12}\times 180}{\pi}\)

Answer 24

Convert the angle 13°38'35" to decimal degrees and round to the nearest hundredth of a degree.

Answer 25

and this one Use the arc length formula and the given information to find s. Show your work for full credit.
r = 15 ft θ = 35° s = ?

Answer 26

You need to work backwards with
13°38'35"

Firstly, how many minutes are there, if you've got 35 seconds?

Answer 27

38 minutes?

Answer 28

No, I mean, 35 seconds, that's 7/12 of a minute, aye?

Answer 29

oh ok sorry yea i got it

Answer 30

So you've got 38 and 7/12 of a minute.
Now divide \[\huge 38\frac7{12} = \frac{12(38)+7}{12}\] by 60,
What do you get?
Use your calculator...

Answer 31

wait so you solve this equation and then how do you get 2 separate things to divide by 60?

Answer 32

Okay, let's make things easier... to divide by 60, just multiply the denominator 12 by 60
\[\huge \frac{12(38)+7}{12\times60}\]
Work this out...

Answer 33

463/720

Answer 34

??

Answer 35

@jjdees lol yeah, but what is it in decimals?

Answer 36

0.6431

Answer 37

LOL just two decimal places as per your instructions ^_^

Answer 38

oh right hehe my baad so 0.64

Answer 39

Yup.. now attach that to the degree bit...
13
and that's your answer :P

Answer 40

13.64?

Answer 41

Voila

Answer 42

I GOT IT THANNK YOU

Answer 43

now how bout the other one hahah

Answer 44

Arclength formula is \[\huge r \theta\]
but \(\large \theta\) has to be in radians...

Answer 45

ok this is so confusig where did that 0 with a line come from

Answer 46

It's called 'theta' and you actually typed it yourself a while ago -.-

Answer 47

well yea i copy pasted from google, and yes i googled a 0 with a line in it.

Answer 48

Theta...
It just means the angle-measure, lol
Angles are usually represented by lowercase Greek letters, such as
\[\large \alpha \qquad\beta\qquad \gamma \qquad \theta\]

Answer 49

okey dokey

Answer 50

so whats next

Answer 51

That's it, just multiply the radius r with the angle measure \(\theta\) as long as it's in radians.

What's your r-value?

Answer 52

r=15ft 0thing=35 degrees

Answer 53

Right, that 0thing (theta! you'll probably be more understood here that way)
is equal to 35 degrees, now convert that to radians...

Answer 54

hehe yeaaaa so i just multiply the two numbers?

Answer 55

Nope... not that simple, you may only multiply the radius with the angle measure in radians.
I already told you... convert 35 degrees to radians...

Answer 56

argh, now how do you do that again?

Answer 57

To convert form degrees to radians, multiply it by
\[\huge \frac{\pi}{180^o}\]

Answer 58

35pi/180

Answer 59

lol yeah, that actually works :P
And you multiply that to the radius, and that's your arclength XD

Answer 60

you might want to simplify after that, but hey, that's the long and the short of it :P

Answer 61

ok ok ok so to multiply the pie, do i actually get a decimal number or does it stay pi?

Answer 62

I don't know, what does your question call for?
In terms of pi? Or to some decimal place?

Answer 63

You can always use the value \[\large \pi \approx 3.1415926535897932384626433832795028841...\]

Answer 64

LOL yes, I needed that ^
^_^

Answer 65

doesnt say :(

Answer 66

then just put it in terms of pi, but simplify , okay?
I need to go now:P
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Terence out