how many degrees is \\frac{17\\pi}{10} radians?
how many degrees is \\frac{17\\pi}{10} radians?
Answer
Explanation:
Step1: Use the conversion formula
To convert radians to degrees, use the formula ( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}). Given ( \text{Radians}=\frac{17\pi}{10}), then ( \text{Degrees}=\frac{17\pi}{10}\times\frac{180^{\circ}}{\pi}).
Step2: Simplify the expression
Cancel out the ( \pi) terms: ( \frac{17\cancel{\pi}}{10}\times\frac{180^{\circ}}{\cancel{\pi}}=\frac{17\times180^{\circ}}{10}). Now, ( 17\times\frac{180}{10}=17\times18). Calculate ( 17\times18 = 306).
Answer:
(306)