Question

convert the following angle in degrees to radians. 104° 104°≈ 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 $degrees = 104$ into the formula: $104\times\frac{\pi}{180}=\frac{104\pi}{180}$.

Step3: Simplify the fraction

$\frac{104\pi}{180}=\frac{26\pi}{45}$.

Step4: Calculate the decimal - value

$\frac{26\pi}{45}\approx\frac{26\times3.14159}{45}\approx1.82$.

Answer:

$1.82$