Question

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

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degrees = Radians × $\frac{180^\circ}{\pi}$.

Step2: Substitute the value of radians

We have 3 radians. Substitute into the formula: Degrees = $3\times\frac{180^\circ}{\pi}$.

Step3: Calculate the value

First, calculate $3\times180 = 540$. Then divide by $\pi$: $\frac{540}{\pi}\approx171.8873$.

Step4: Round to the nearest tenth

Rounding 171.8873 to the nearest tenth gives 171.9.

Answer:

171.9