QQuestionMathematics
QuestionMathematics
"One revolution (rev) is equal to how many radians (rad)? How many degrees (°)?
A. π rad, 180°
B. 2π rad, 360°
C. 1 rad, 90°
D. 4π rad, 720°"
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Answer
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Step 1:: Understand the problem
We need to convert one revolution to radians and degrees.
Step 2:: Convert one revolution to radians
So, one revolution is equal to $2 \pi$ radians.
Since the radius $r$ of a circle with a circumference of one revolution is 1, we have:
Step 3:: Convert one revolution to degrees
We know that there are 360 degrees in a full circle. Therefore, one revolution is equal to 360 degrees.
Step 4:: Compare the answers
Now, we can compare our results with the given options: A. π rad, 180° (Incorrect for both radians and degrees) B. 2π rad, 360° (Correct for radians and degrees) C. 1 rad, 90° (Incorrect for both radians and degrees) D. 4π rad, 720° (Incorrect for both radians and degrees)
Final Answer
One revolution is equal to 2π radians and 360 degrees. So, option B is the correct answer.
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