Question

convert the angle -5 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 \( - 5\) radians, we have \( -5\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

\(-5\times\frac{180}{\pi}\approx - 5\times\frac{180}{3.14159}\)
\(=\frac{-900}{3.14159}\approx - 286.5^{\circ}\)

Answer:

\(-286.5^{\circ}\)