Question

How do you turn 72 degree into radians?

Answer 1

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.

Answer 2

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")`