# Is it correct to write 1^@=2pi/360^@? Yes or no, and also why?

Feb 25, 2016

Yes

#### Explanation:

The conversion factor between degrees and radians is

${360}^{\circ} = 2 \pi r a d$.

Hence, by ratio and proportion,

${1}^{\circ} = \frac{2 \pi}{360} ^ \circ r a d$

Feb 25, 2016

It is not correct because the units do not work.

#### Explanation:

It is true that ${1}^{\circ} = 2 \frac{\pi}{360} r a d$.

In a similar way, although it is true that
$150 c m = 150 c m \times \frac{1 m}{100 c m} = 1.5 m$,

it would be incorrect to write

$150 c m = \frac{150}{100 c m}$