Question

find the radian measure for each of the following angles. enter each answer as a reduced fraction involving π.
380° = radians
330° = radians
0° = radians
100° = radians
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Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula: \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees} \)

Step2: Convert \(380^{\circ}\)

\(380^{\circ}\times\frac{\pi}{180}=\frac{380\pi}{180}=\frac{19\pi}{9}\)

Step3: Convert \(330^{\circ}\)

\(330^{\circ}\times\frac{\pi}{180}=\frac{330\pi}{180}=\frac{11\pi}{6}\)

Step4: Convert \(0^{\circ}\)

\(0^{\circ}\times\frac{\pi}{180} = 0\)

Step5: Convert \(100^{\circ}\)

\(100^{\circ}\times\frac{\pi}{180}=\frac{100\pi}{180}=\frac{5\pi}{9}\)

Answer:

\(380^{\circ}=\frac{19\pi}{9}\) radians
\(330^{\circ}=\frac{11\pi}{6}\) radians
\(0^{\circ}=0\) radians
\(100^{\circ}=\frac{5\pi}{9}\) radians