QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
"Mark the statements that are true.
A. An angle that measures 30° also measures π/ 3 radians.
B. An angle that measures π/ 6 radians also measures 30°.
C. An angle that measures π/ 3 radians also measures 60°.
D. An angle that measures 180° also measures π/ 2 radians."
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Answer
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Step 1: Recall the conversion formula between degrees and radians.
The formula to convert from degrees to radians is: $$radians = \frac{\pi}{180} \times degrees
Step 2: Analyze the given statements and use the conversion formula.
\frac{180}{\pi} \times \frac{\pi}{6} = 30°
A. To check if an angle that measures 30° also measures π/ 3 radians, we can use the conversion formula: Since π/ 3 is not equal to π/ 6, the statement is false. B. To check if an angle that measures π/ 6 radians also measures 30°, we can use the conversion formula: Since both values are equal, the statement is true.
Final Answer
- Statement B: An angle that measures π/ 6 radians also measures 30° is true. - Statement C: An angle that measures π/ 3 radians also measures 60° is true. - The other statements (A and D) are false.
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