Question

i am having trouble converting angles into degrees and to radians. how would you work 88 degrees out.

Answer 1

use the fact that 360 degrees = 2pi radians

Answer 2

360 = 2pi

1 = 2pi/360

88 = 88*2pi/360

Answer 3

i see the response, but how to you calculate to get the answer.

Answer 4

how do you work out 88 degrees.

Answer 5

i ust worked it out all for you .... not to sure what you are asking about

Answer 6

Use a calculator to find 88*2pi/360

...

88/360 = .2444
and 2 pi * .24444 = 1.535 radians

Answer 7

88/360 is a part of a circle ... and it gives us a percentage value.

24.44% of 360 degrees converts, or relates, to 24.44% of 2pi

Answer 8

if you are given radians, then k out of 2pi gives us a percentage to work out on 360 degrees

Answer 9

how did you come up with 2pi *.24444=1.535

Answer 10

you have 2 formula:
1/ \(\dfrac{\pi}{180}\) it is used to calculate radian

2/ \( \dfrac{180}{\pi}\) it's used to calculate degree.
if you want to calculate radian, use formula 1. For example, you have 88 degree, so convert to radian is 88 * \(\dfrac{\pi}{180}=1.535 ~~radians\)

Let say, if you want to convert \(3\pi\) to degree, use formula 2, you will do \(3\pi *\dfrac{180}{\pi}\)= 540 degree.
that's it

Answer 11

pay attention, \(\pi\) is "unit" of radian, so, to calculate radian, it is numerator
180 is "unit" of degree, so , to calculate degree, it is numerator
That's the way to memorize and not be confused