Question

for each of the following angles, find the radian measure of the angle with the given degree measure (you can enter π as pi in your answers):
100°
-310°
300°
180°
0°
question help: video

Explanation:

Step1: Recall the conversion formula

The formula to convert degrees to radians is \( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}\)

Step2: Convert \(100^{\circ}\) to radians

Substitute \(100\) into the formula: \(100\times\frac{\pi}{180}=\frac{100\pi}{180}=\frac{5\pi}{9}\)

Step3: Convert \(- 310^{\circ}\) to radians

Substitute \(-310\) into the formula: \(-310\times\frac{\pi}{180}=-\frac{310\pi}{180}=-\frac{31\pi}{18}\)

Step4: Convert \(300^{\circ}\) to radians

Substitute \(300\) into the formula: \(300\times\frac{\pi}{180}=\frac{300\pi}{180}=\frac{5\pi}{3}\)

Step5: Convert \(180^{\circ}\) to radians

Substitute \(180\) into the formula: \(180\times\frac{\pi}{180}=\pi\)

Step6: Convert \(0^{\circ}\) to radians

Substitute \(0\) into the formula: \(0\times\frac{\pi}{180} = 0\)

Answer:

\(\frac{5\pi}{9}\), \(-\frac{31\pi}{18}\), \(\frac{5\pi}{3}\), \(\pi\), \(0\)