Question

convert the following angle in degrees to radians. - 24° - 24° ≈ □ radian(s) (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

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

Step2: Substitute the given degree value

Substitute $- 24$ for degrees: $-24\times\frac{\pi}{180}$.

Step3: Simplify the expression

$-24\times\frac{\pi}{180}=-\frac{24\pi}{180}=-\frac{2\pi}{15}$.

Step4: Calculate the decimal - value

$-\frac{2\pi}{15}\approx - 0.42$ (rounded to two decimal places).

Answer:

$-0.42$