Question

convert the degree measure into radians: 340°
a \\(\frac{9pi}{4}\\)
b \\(\frac{29pi}{18}\\)
c \\(\frac{14pi}{9}\\)
d \\(\frac{17pi}{9}\\)

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \)

Step2: Substitute the given degree measure

We have \( 340^\circ \), so substitute into the formula: \( 340 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{340}{180} \) by dividing numerator and denominator by 20: \( \frac{340\div20}{180\div20} = \frac{17}{9} \)
So, \( 340^\circ = \frac{17\pi}{9} \) radians

Answer:

D. \( \frac{17\pi}{9} \)