Converting Degrees to Radians

agent2421 · #1 $Old$ November 13th, 2009, 02:10 PM

Hey can someone help me out with this.

Find the exact radian measure of 400 degrees.

I'm not sure but for the other questions' this is how I solved it... for this one i'm not sure but I'll show what work I do have done.

400/365 x 2 pi

Would that be correct or wrong? If it is wrong how do I solve it if the degrees are more than 365?

skeeter · #2 $Old$ November 13th, 2009, 02:30 PM

Quote:

Originally Posted by agent2421 $View Post$

Hey can someone help me out with this.

Find the exact radian measure of 400 degrees.

I'm not sure but for the other questions' this is how I solved it... for this one i'm not sure but I'll show what work I do have done.

400/365 x 2 pi

Would that be correct or wrong? If it is wrong how do I solve it if the degrees are more than 365?

$400^\circ \cdot \frac{\pi \, rad}{180^\circ} = \frac{20\pi}{9} \, rad$

agent2421 · #3 $Old$ November 13th, 2009, 02:44 PM

Thanks... how did you get the 2opi/9 though... I understand how you would get 6.981 but how do you make that into an exact radian mesaure?

skeeter · #4 $Old$ November 13th, 2009, 02:58 PM

Quote:

Originally Posted by agent2421 $View Post$

Thanks... how did you get the 2opi/9 though... I understand how you would get 6.981 but how do you make that into an exact radian mesaure?

$\frac{400\pi}{180}$ reduces to $\frac{20\pi}{9}$

agent2421 · #5 $Old$ November 13th, 2009, 02:59 PM

I know it reduceds to it but how do you show the work behind it.... that's what I don't understand..

I know the answer to 400 pi/180 but why does it become 20pi/9

Sorry if this is a stupid question.... I just don't undertand how you got it from there

e^(i*pi) · #6 $Old$ November 13th, 2009, 03:02 PM

Quote:

Originally Posted by agent2421 $View Post$

I know it reduceds to it but how do you show the work behind it.... that's what I don't understand..

I know the answer to 400 pi/180 but why does it become 20pi/9

Sorry if this is a stupid question.... I just don't undertand how you got it from there

$\frac{400}{180} = \frac{20}{20} \times \frac{20}{9}$ .

As $\frac{20}{20} = 1$ that will cancel

skeeter · #7 $Old$ November 13th, 2009, 03:02 PM

Quote:

Originally Posted by agent2421 $View Post$

I know it reduceds to it but how do you show the work behind it.... that's what I don't understand..

I know the answer to 400 pi/180 but why does it become 20pi/9

Sorry if this is a stupid question.... I just don't undertand how you got it from there

$\frac{400\pi}{180} = \frac{20 \cdot 20\pi}{20 \cdot 9}$

... cancel the common factor of 20 in the numerator and denominator.