convert the angle -3 radians to degrees, rounding to the nearest 10th.
convert the angle -3 radians to degrees, rounding to the nearest 10th.
Answer
Explanation:
Step1: Use the conversion formula
The formula to convert radians to degrees is ( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}). For ( - 3) radians, we have ( -3\times\frac{180^{\circ}}{\pi}).
Step2: Calculate the value
(-3\times\frac{180}{\pi}\approx - 3\times\frac{180}{3.14159}) (=\frac{- 540}{3.14159}\approx - 171.9^{\circ})
Answer:
(-171.9^{\circ})