Question

convert the following degree measure to radians. -350° -350° = □ radians (simplify your answer. use integers or fractions for any numbers in the expression. type an exact answer, using π as needed.)

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 the degree measure \( -350^\circ \). Substituting into the formula, we get:
\( -350 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{-350}{180} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 10. So we have \( \frac{-35}{18} \).
Thus, \( -350^\circ = -\frac{35\pi}{18} \) radians.

Answer:

\( -\frac{35\pi}{18} \)