How many radians is $340°$?

• A. $\frac{34\pi }{9}$
• B. $\frac{19\pi }{18}$
• C. $\frac{5\pi }{3}$
• D. $\frac{17\pi }{9}$

Answer: (D)

Verified step by step guidance

1. Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
2. Substitute the given degree measure into the formula: \$340^\circ \times \frac{\pi}{180}$.
3. Simplify the fraction \(\frac{340}{180}\) by dividing numerator and denominator by their greatest common divisor.
4. Express the simplified fraction multiplied by \(\pi\) as your radian measure.
5. Write the final answer in the form \(\frac{a\pi}{b}\), where \(a\) and \(b\) are integers with no common factors.