Question

convert the angle in degrees to radians. round to two decimal places. 252° 252° = radians (round 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 degree value

Substitute $252$ for degrees: $252\times\frac{\pi}{180}$.

Step3: Simplify the expression

$252\times\frac{\pi}{180}=\frac{252\pi}{180}=\frac{7\pi}{5}$.

Step4: Calculate the numerical value

$\frac{7\pi}{5}\approx\frac{7\times3.14159}{5}= 4.398226$.

Step5: Round to two decimal places

Rounding $4.398226$ to two decimal places gives $4.40$.

Answer:

$4.40$