Question

question
convert the angle - 4.5 radians to degrees, rounding to the nearest 10th.
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attempt 1 out of 2
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Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\). For \(-4.5\) radians, we have \(-4.5\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

\(-4.5\times\frac{180^{\circ}}{\pi}\approx -4.5\times\frac{180^{\circ}}{3.14159}\).
\(-4.5\times\frac{180}{3.14159}\approx -4.5\times57.2958\approx - 257.8311\).
Rounding to the nearest \(10^{\text{th}}\), we get \(-257.8^{\circ}\).

Answer:

\(-257.8\)