# How do you turn 72 degree into radians?

Oct 17, 2015

Multiply. 72 x ($\pi$/180)

#### Explanation:

= 72 x $\pi$/180
=72/180=2/5

Hence 72 degrees in radians is 2$\pi$/5 or = 1.26, correct to three significant figures.

Oct 17, 2015

Shoaib Hameed method is correct but I wish to expand on his solution

#### Explanation:

It is a matter of ratios between radians and degrees:

The main point of reference is that there are $\pi$ radians in ${180}^{0}$.

Your question requires an answer in radians so we would express our reference ratio in the form of $\text{radians"/"degrees}$. Your target type is always written as a numerator as it is a more efficient calculation method. The next step:

As there is a direct link between the number of radians to its associated number of degrees we can write:

$\left(\pi \text{ radians")/( 180^0 " degrees") = ( "unknown radians")/("given degrees}\right)$

So we end up with:

$\left(\text{unknown radians") = (pi " radians")/( 180^0 " degrees") times ("given degrees}\right)$