Question

question 2
convert the angle - 3 radians to degrees, rounding to the nearest 10th.
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Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the value of radians

Given radians \(=- 3\), then degrees \(=-3\times\frac{180^{\circ}}{\pi}\).

Step3: Calculate the value

\(-3\times\frac{180}{\pi}\approx - 3\times\frac{180}{3.14159}\approx-171.9^{\circ}\) (rounded to the nearest tenth).

Answer:

$-171.9$