How do I change from Radians to Degrees and vice versa?

**Polyxendi** · March 30th 2009, 01:10 PM

I was sick and absent from school for the last few days and this is one of the topics that will come on the test on Thursday.

Any help would be greatly appreciated!

**masters** · March 30th 2009, 01:41 PM

Originally Posted by Polyxendi

I was sick and absent from school for the last few days and this is one of the topics that will come on the test on Thursday.

Any help would be greatly appreciated!

Hi Polyxedni,

To change from degrees to radians, multiply degrees by $\frac{\pi}{180}$

Example: Change 30 degrees to radians

$30^{\circ}\cdot \frac{\pi}{180}=\frac{30 \pi}{180}=\frac{\pi}{6}$ radians.

To change from radians to degrees, multiply radians by $\frac{180}{\pi}$

Example: Change $\frac{\pi}{2}$ radians to degrees

$\frac{\pi}{2} \cdot \frac{180}{\pi}=90^{\circ}$

**Ian1779** · March 30th 2009, 01:42 PM

Well there are $2\pi$ radians in 360 degrees.

Use the expression: $2\pi/360$ .

Then you can convert back and forth.

Example - how many radians in 90 degrees?

$radians = 2\pi*(degrees)/360$

How many degrees in 2 radians?

$degrees = (radians)*360/2\pi$

Hope this helps

**Polyxendi** · March 30th 2009, 03:02 PM

Thank you!!

Thread: How do I change from Radians to Degrees and vice versa?

LinkBack

Thread Tools

Display

How do I change from Radians to Degrees and vice versa?

Similar Math Help Forum Discussions

Radians to degrees and vica/versa

Need help with explaining a fraction to decimal and vice versa

Sets containing unions, and vice versa

How to I Find Angle (and Vice Versa)

Polar to Rectangular and Vice Versa

Search Tags