Question

convert 5pi over 2 radians into degrees

Answer 1

how many radian in a complete circle?

Answer 2

theres 1

Answer 3

there are \(2\pi\) radians in a complete circle

Answer 4

how many degrees in a complete circle?

Answer 5

well don't you have to turn it into degrees ?

Answer 6

do you know how many degrees in a right angle?

Answer 7

no

Answer 8

do you know many degrees that is?

Answer 9

yes thats 90 degrees right ?

Answer 10

correct.
so in a circle, there are four of these.
so how many degrees in a complete circle?

Answer 11

360 degrees

Answer 12

correct

Answer 13

so now you know that \(2\pi\) radians represents 360 degrees

Answer 14

so 1 radian would be \(\frac{360}{2\pi}\) degrees

Answer 15

okay

Answer 16

so to convert \(\frac{5\pi}{2}\) radians to degrees, you just need to multiply it by \(\frac{360}{2\pi}\)

Answer 17

so would it be 10 pi over 720 ? ;o

Answer 18

the \(\pi\)'s cancel out

Answer 19

\[\frac{5\pi}{2}\times\frac{360}{2\pi}\]

Answer 20

so then it would just be 720 ?

Answer 21

how did you get 720?

Answer 22

lol i cross multipied 360*2

Answer 23

you are not supposed to cross-multiply here.
just multiply the numerators to get the new numerator.
then multiply the denominators to get the new denominators.
then simplify.

Answer 24

oh , so I can multiply across even though one of the numbers don't have a pi next to it ?

Answer 25

yes, e.g.: