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Question

Question
Convert 150° into radians.

(1 point)
Responses

Start Fraction pi over 6 End Fraction radians
Image with alt text: Start Fraction pi over 6 End Fraction radians

Start Fraction pi over 3 End Fraction radians
Image with alt text: Start Fraction pi over 3 End Fraction radians

Start Fraction 2 pi over 3 End Fraction radians
Image with alt text: Start Fraction 2 pi over 3 End Fraction radians

Start Fraction 5 pi over 6 End Fraction radians
Image with alt text: Start Fraction 5 pi over 6 End Fraction radians

Answer 1

To convert degrees to radians, you can use the formula:

\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

For 150 degrees, the calculation is:

\[ 150 \times \frac{\pi}{180} = \frac{150\pi}{180} = \frac{5\pi}{6} \]

So, 150° in radians is:

\[ \frac{5\pi}{6} \text{ radians} \]

The correct response is:

Start Fraction 5 pi over 6 End Fraction radians