How do you turn 72 degree into radians?

2 Answers
Oct 17, 2015

Multiply. 72 x (pi/180)

Explanation:

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

Hence 72 degrees in radians is 2pi/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 "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:

(pi " radians")/( 180^0 " degrees") = ( "unknown radians")/("given degrees")

So we end up with:

( "unknown radians") = (pi " radians")/( 180^0 " degrees") times ("given degrees")