convert the angle 4.5 radians to degrees, rounding to the nearest 10th.
convert the angle 4.5 radians to degrees, rounding to the nearest 10th.
Answer
Answer:
$257.8$
Explanation:
Step1: Use the conversion formula
To convert radians to degrees, use the formula ( \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}=\frac{810^{\circ}}{\pi}\approx\frac{810}{3.14159}\approx257.8^{\circ}) (rounded to the nearest tenth).