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2007-09-10 16:52:33 · 5 answers · asked by Katie 4 in Science & Mathematics Mathematics

5 answers

360°<--->2π radians
175°<-->(175 / 360) x 2π radians
= 3.05 radians ( to 2 decimal places)

2007-09-10 21:30:28 · answer #1 · answered by Como 7 · 1 0

To convert degree to radian, multiply by Pi and divide by 180.

Thus, 175 degrees = 3.05431 radians (answer).

2007-09-10 17:07:55 · answer #2 · answered by Chumbawamba 5 · 0 0

180 degrees = pi radians
use this equation to form conversion factors

to convert degrees to radians
note that the "unit" degrees is in the numerator, so we want to multiply by something that has degrees in the denominator to cancel out degrees
we need to multiply by 1 because multiplying by 1 leaves you with the number you started with, but we will use a special form of 1 based on the equation I gave you at the outset

180 degrees = pi radians
divide both sides by 180 degrees
1 = pi radians / 180 degrees
this is that special form of 1 to use

175 degrees * pi radians / 180 degrees =
(175/180)pi radians = (35/36)pi radians

~ 3.05 radians
(~ means approximately, meaning I obviously rounded the number)

if you wanted to convert radians to degrees we would
take the equation and divide both sides by pi radians:

1 = 180 degrees / pi radians

and use the right side as our conversion factor that equals 1

2007-09-10 17:32:20 · answer #3 · answered by Anonymous · 0 1

this is very easy....
since one pi is equal to 180 degrees, you only have to multiply 175 degrees by pi and then divide the product by 180...
(175 x pi)/180
the answer is 3.05432619 radians

2007-09-10 17:03:35 · answer #4 · answered by aldrin 2 · 0 0

2 * pi radians = 180 degrees -

so (175/180) * 2 * pi yields your answer

2007-09-10 17:01:35 · answer #5 · answered by Anonymous · 0 0

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