Question

convert the angle -3 radians to degrees, rounding to the nearest 10th.

Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \( - 3\) radians, we have \( -3\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

\(-3\times\frac{180}{\pi}\approx - 3\times\frac{180}{3.14159}\)
\(=\frac{- 540}{3.14159}\approx - 171.9^{\circ}\)

Answer:

\(-171.9^{\circ}\)