How many degrees are equivalent to 1.6 radians ? Give your answer correct to 3 significant figures.

## Step 1: Identify the conversion factor<br />The conversion factor between radians and degrees is \( \pi \) radians = 180 degrees. <br /><br />## Step 2: Write the conversion factor<br />We write the conversion factor with radians in the denominator so that they will cancel out the radians in the given value. <br /><br />### \[ \frac{1.6 \text{ radians}}{1} \times \frac{180 \text{ degrees}}{\pi \text{ radians}} \]<br /><br />## Step 3: Perform the calculation<br />We multiply the numerator and denominator on the left by the conversion factor. <br /><br />### \[ \frac{1.6 \text{ radians}}{1} \times \frac{180 \text{ degrees}}{\pi \text{ radians}} = \frac{1.6 \times 180}{\pi} \text{ degrees} \]<br /><br />## Step 4: Simplify the expression<br />We simplify the expression to get the final answer. <br /><br />### \[ \frac{1.6 \times 180}{\pi} \text{ degrees} = 91.67 \text{ degrees} \]