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Question

# Convert from degrees to radians: (a)$1 ^ { \circ }$(b)$30 ^ { \circ }$(c)$25 ^ { \circ }$(d)$120 ^ { \circ }$

Solution

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To convert from degrees to radians, multiply by $\dfrac{\pi}{180\text{\textdegree}}$ .

\begin{align*} \text{ a. } \ 1\text{\textdegree} &= 1\text{\textdegree} \left( \dfrac{\pi}{180\text{\textdegree}} \right)\\ & = \dfrac{\pi}{180 }\\ & = \dfrac{3.14}{180 }\\ 1\text{\textdegree} & \approx 0.017 \ rad \end{align*}

Thus, $1\text{\textdegree} \approx 0.017\ rad$

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