Question

convert the angle in degrees to radians. - 690° - 690° = radians (simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $x^{\circ}=x\times\frac{\pi}{180}\text{ radians}$.

Step2: Substitute the value

Substitute $x = - 690$ into the formula: $-690\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{-690\pi}{180}=\frac{-23\pi}{6}$.

Answer:

$-\frac{23\pi}{6}$