Question
What is the radian measure of this angle? 330
Answers
GPT-4o mini
To convert degrees to radians, you can use the formula:
\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]
For an angle of 330 degrees:
\[
\text{radians} = 330 \times \frac{\pi}{180}
\]
Now, simplify the fraction:
\[
\frac{330}{180} = \frac{11}{6}
\]
So,
\[
\text{radians} = \frac{11\pi}{6}
\]
Therefore, the radian measure of a 330-degree angle is:
\[
\frac{11\pi}{6}
\]
\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]
For an angle of 330 degrees:
\[
\text{radians} = 330 \times \frac{\pi}{180}
\]
Now, simplify the fraction:
\[
\frac{330}{180} = \frac{11}{6}
\]
So,
\[
\text{radians} = \frac{11\pi}{6}
\]
Therefore, the radian measure of a 330-degree angle is:
\[
\frac{11\pi}{6}
\]