Convert 42 degree 57 minute 16 second into radian

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Please find below the solution to the asked query:

$$\begin{gathered} 42°57\text{'}16" \\ 1"={\left(\frac{1}{3600}\right)}^{°} \\ 16"={\left(\frac{1}{3600}\times 16\right)}^{°}=0.0045° \\ 1\text{'}={\left(\frac{1}{60}\right)}^{°} \\ \Rightarrow 57\text{'}={\left(\frac{1}{60}\times 57\right)}^{°}=0.95° \\ \mathrm{So} \mathrm{we} \mathrm{have} \\ 42°57\text{'}16"=42°+0.95°+0.0045° \\ =42.9545° \\ 1°=\frac{\mathrm{\pi }}{180} \mathrm{radians} \left[\mathrm{\pi }\approx 3.1415\right] \\ \Rightarrow 42.9545°=\left(\frac{\mathrm{\pi }}{180}\times 42.9545\right) \mathrm{radians}\approx 0.7493 \mathrm{radians} \end{gathered}$$

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