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):
-20°
10°
170°
70°
-130°
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Explanation:

Step1: Use the conversion formula

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

For \(- 20^{\circ}\):

\(-20\times\frac{\pi}{180}=-\frac{\pi}{9}\)

For \(10^{\circ}\):

\(10\times\frac{\pi}{180}=\frac{\pi}{18}\)

For \(170^{\circ}\):

\(170\times\frac{\pi}{180}=\frac{17\pi}{18}\)

For \(70^{\circ}\):

\(70\times\frac{\pi}{180}=\frac{7\pi}{18}\)

For \(-130^{\circ}\):

\(-130\times\frac{\pi}{180}=-\frac{13\pi}{18}\)

Answer:

\(-\frac{\pi}{9}\), \(\frac{\pi}{18}\), \(\frac{17\pi}{18}\), \(\frac{7\pi}{18}\), \(-\frac{13\pi}{18}\)