convert 1 radian to degrees. round your answer to the nearest degree.
convert 1 radian to degrees. round your answer to the nearest degree.
Answer
Explanation:
Step1: Use the conversion formula
The formula to convert radians to degrees is ( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}). For (1) radian, we have (1\times\frac{180^{\circ}}{\pi}).
Step2: Calculate the value
Since (\pi\approx3.14159), then (\frac{180^{\circ}}{3.14159}\approx57.3^{\circ}). Rounding (57.3^{\circ}) to the nearest degree gives (57^{\circ}).
Answer:
(57)