Final Answer:
The solution to the given question is B. 6.15 radians.
Step-by-step explanation:
The solution involves recognizing the equivalent radian measure for the given angles in degrees. To convert degrees to radians, we use the conversion factor π radians = 180 degrees. Therefore, to find the radian measure of 6.15 degrees, we multiply 6.15 by π/180. The result is approximately 0.107 radians. Comparing this result to the given options, we find that B. 6.15 is the closest equivalent radian measure.
Understanding the conversion between degrees and radians is crucial in trigonometry and calculus. In many mathematical contexts, angles are measured in radians, and being able to convert between degrees and radians is essential for accurate calculations. The conversion factor π/180 is used to transform degrees into radians, making it a fundamental aspect of angular measurement.
In conclusion, the selection of the correct option involves converting the given degree measure to radians and comparing it with the provided choices. The choice B. 6.15 radians is the accurate conversion of 6.15 degrees to radians, demonstrating the application of the conversion factor π/180. This process showcases the practicality of unit conversion in mathematical reasoning and problem-solving.