Why does 65° divided by 180 give a decimal instead of 13π/36?

[CrossFit415]

I know that 65° = pi/180 = 13pi / 36. But when I divide 65 / 180° I get. 3261. How would I convert this into 13pi/36 ? I know I am forgetting the basics..

 

[jhae2.718]

$$2\pi = 360^{\circ}$$

 

[CrossFit415]

Do I multiplty 65° into 2pi?

 

[eumyang]

Reduce the fraction, of course! 65 and 180 have 5 as a common factor.

$$65^{\circ} = \frac{65 \pi}{180} = \frac{65 \pi \div 5}{180 \div 5} = \frac{13 \pi}{36}$$

 

[CrossFit415]

Lol thanks! I was just having a dull moment. :)