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)*(\pi)/(180^(\circ))`

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

`\begin{gathered} 195^(\circ)*(\pi)/(180^(\circ)) \\ (195\pi)/(180)=(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