Question

convert the angle 3.5 radians to degrees, rounding to the nearest 10th.

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \( \text{Radians} = 3.5\), we have \( \text{Degrees}=3.5\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

\(3.5\times\frac{180}{\pi}=\frac{630}{\pi}\approx\frac{630}{3.14159}\approx 200.5\) (rounded to the nearest tenth).

Answer:

\(200.5\)