Question

convert the angle 6 radians to degrees, rounding to the nearest 10th.

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the value

Here, the radian measure is $6$. So, Degree measure $=6\times\frac{180^{\circ}}{\pi}$.

Step3: Calculate the value

We know that $\pi\approx3.14159$. Then $6\times\frac{180}{3.14159}=\frac{1080}{3.14159}\approx343.8^{\circ}$ (rounded to the nearest tenth).

Answer:

$343.8$