Question

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

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \)

Step2: Substitute the given radian value

We are given 1 radian, so substitute \( \text{Radians} = 1 \) into the formula: \( \text{Degrees} = 1 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

\( \frac{180}{\pi} \approx 57.2957795 \)

Step4: Round to the nearest tenth

Rounding \( 57.2957795 \) to the nearest tenth gives \( 57.3 \)

Answer:

\( 57.3^\circ \)