Question

convert 1 radian to degrees. round your answer to the nearest degree. 180 convert (\frac{3pi}{8}) radians to degrees. round your answer to the nearest tenth of a degree.

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \( \frac{3\pi}{8}\) radians, substitute into the formula: \( \frac{3\pi}{8}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

The \( \pi\) terms cancel out. So we have \( \frac{3}{8}\times180^{\circ}\).
Calculate \( \frac{3\times180}{8}=\frac{540}{8} = 67.5^{\circ}\).

Answer:

\(67.5\)