Q. 120 - Precalculus Enhanced with Graphing Utilities

Question

Which angle has the larger measure: 1 degree or 1 radian? Or are they equal?

Step-by-Step Solution

Answer

The radian angle has the larger measure.

Step 1. Given Information

The problem asks which angle has the larger measure: 1 degree or 1 radian? Or are they equal?

Step 2. Finding the result

To compare the measurement of 1 degree and 1 radian, convert 1 radian into degree.

Since, $$\begin{gathered} {180}^{\circ }=\mathrm{\pi } \mathrm{rad} \\ 1 \mathrm{rad}=\frac{180}{\mathrm{\pi }}\approx 57.{295}^{\circ } \end{gathered}$$