How do you turn 72 degree into radians?

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How do you turn 72 degree into radians?

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Answer 1 · 2015-10-17T13:03:08

Multiply. 72 x ( $π$ $pi$ /180)

Explanation:

= 72 x $π$ $pi$ /180
=72/180=2/5

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

Answer 2 · 2015-10-17T14:55:35

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 $π$ $pi$ radians in $180^{0}$ $180^0$ .

Your question requires an answer in radians so we would express our reference ratio in the form of $\frac{radians}{degrees}$ $"radians"/"degrees"$ . 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:

$\frac{π radians}{180^{0} degrees} = \frac{unknown radians}{given degrees}$ $(pi " radians")/( 180^0 " degrees") = ( "unknown radians")/("given degrees")$

So we end up with:

$(unknown radians) = \frac{π radians}{180^{0} degrees} \times (given degrees)$ $( "unknown radians") = (pi " radians")/( 180^0 " degrees") times ("given degrees")$

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How do you turn 72 degree into radians?

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