Question

convert the following angle in degrees to radians. 140° 140°≈□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 value

Substitute $degrees = 140$ into the formula: $140\times\frac{\pi}{180}=\frac{140\pi}{180}=\frac{7\pi}{9}$.

Step3: Calculate decimal value

$\frac{7\pi}{9}\approx\frac{7\times 3.14159}{9}\approx 2.44$

Answer:

$2.44$