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Example Questions
Example Question #51 : Radians And Conversions
Convert radians into degrees.
Possible Answers:
Correct answer:
Explanation:
Recall the definition of "radians" derived from the unit circle:
The quantity of radians given in the problem is . All that is required to convert this measure into degrees is to denote the unknown angle measure in degrees by and set up a proportion equation using the aforementioned definition relating radians to degrees:
Cross-multiply the denominators in these fractions to obtain:
or
.
Canceling like terms in these equations yields
Hence, the correct angle measure of in degrees is .
John
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