Answer :
Final answer:
To find how many radians are equivalent to 5.85 revolutions, multiply 5.85 by 2π to get 11.7π radians. Then, use the approximate value of π (3.14159) to calculate 11.7 * 3.14159 ≈ 36.8 radians. The closest answer is option a, 36.6 radians.
Explanation:
The question asks how many radians are equivalent to 5.85 revolutions. The formula to convert revolutions to radians is based on the fact that 1 revolution equals 2π radians. To find the equivalent in radians for 5.85 revolutions, we multiply 5.85 by 2π.
5.85 revolutions * 2π radians/revolution = 11.7π radians
Since π is approximately 3.14159, we then calculate 11.7 * 3.14159 ≈ 36.8 radians. Therefore, the closest answer from the given options is 36.6 radians, which makes option a the correct choice.