MTH1010_08_02_3

Question

MTH1010_08_02_3

BlackTom AI · Accepted Answer

The task asks to convert an angle from radians to degrees and to express the result as an integer.
First, recall the conversion factor: 180 degrees equals π radians. Therefore, to convert any angle from radians to degrees, multiply by 180/π.
In this case, the angle is π/12 radians. Apply the conversion:
(π/12) radians × (180/π) degrees per radian = (π × 180) / (12 × π) degrees.
The π cancels out, leaving 180/12 degrees, which simplifies to 15 degrees.
Since the instruction specifies writing the answer as an integer, 15 is already an integer and is the expected result for the conversion.
Now consider the provided answer, 3.8. This value does not align with the standard radian-to-degree conversion. It appears to be a miscalculation or perhaps a misinterpretation of the units. To verify, if you mistakenly treated π/12 as 0.2618 radians and then tried to convert, you might get a wrong decimal, but the proper algebra with the 180/π factor yields 15 degrees, not 3.8.
In summary, the correct approach uses the 180/π factor to convert π/12 radians to degrees, and the result should be an integer, specifically 15. Any other numeric result indicates an error in applying the conversion factor or in unit interpretation.

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