Question

convert 195° from degrees to radians

Answer 1

13π/12 radians

1) We can convert this from degrees to radians following this formula, since 1º

$\alpha^{\circ}\times\frac{\pi}{180^{\circ}}$

2) So, we can plug into that the given measure in degrees:

$\begin{gathered} 195^{\circ}\times\frac{\pi}{180^{\circ}} \\ \frac{195\pi}{180}=\frac{13}{12}\pi\approx3.40 \end{gathered}$

Note that we rounded off to the nearest hundredth the value of pi.

3) Hence, the answer is approximately 3.40 radians or exactly 13/12

π