Questions & Answers

Convert 6 radians into degree measures.

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Hint: In order to solve this problem you need to know that p radians is equal to ${\text{p}} \times \dfrac{{180}}{\pi }$ degrees.

Complete step-by-step answer:
So we have to convert 6 radians into degrees.
As we know the formula of radians to degree conversion that p radians is equals to ${\text{p}} \times \dfrac{{180}}{\pi }$ degrees.
So, we can say 6 radians = $6 \times \dfrac{{180}}{\pi }$ degrees ($\pi = 3.14$)
$ \Rightarrow 6 \times \dfrac{{180}}{{3.14}} = \dfrac{{1080}}{{3.14}} = 343.94$ degrees.
Hence the answer to this question is $343.94^o$.

Note: Whenever you face such types of problems you have to know the formulas of conversion from radians into degree and degree into radians.
Here we have used the formula p radians is equal to ${\text{p}} \times \dfrac{{180}}{\pi }$ degrees. Proceeding with this formula you will get the right answer.
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