Question

convert the angle 1 radian to degrees, rounding to the nearest 10th.

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.
For 1 radian, the degree measure is $1\times\frac{180^{\circ}}{\pi}$.

Step2: Calculate the value

We know that $\pi\approx3.14159$. So, $\frac{180}{3.14159}\approx57.2958$.

Step3: Round to the nearest tenth

Rounding 57.2958 to the nearest tenth (one - decimal place), we look at the second decimal digit. Since 9 > 5, we round up the first decimal digit. So, 57.2958 ≈ 57.3.

Answer:

57.3