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question 1
convert the angle 1 radian to degrees, rounding to the nearest 10th.
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Step1: Use the conversion formula
We know that to convert radians to degrees, we use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \(1\) radian, the degree measure is \(1\times\frac{180^{\circ}}{\pi}\).
Step2: Calculate the value
Since \(\pi\approx3.14159\), then \(\frac{180}{3.14159}\approx57.3\).
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\(57.3\)