Question

converting radians to degrees
convert 1 radian to degrees. round your answer to the nearest degree.
convert \\( \frac { 3 \pi } { 8 } \\) radians to degrees. round your answer to the nearest tenth of a degree.

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: \(1\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

Since \(\pi\approx3.14159\), then \(1\times\frac{180^{\circ}}{3.14159}\approx57.3^{\circ}\). Rounding to the nearest degree gives \(57^{\circ}\).

Answer:

\(57\)