Question

convert the following angle from degrees to radians. express your answer in simplest form. 720°

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the value

Substitute $720^{\circ}$ into the formula: $720\times\frac{\pi}{180}$.

Step3: Simplify the expression

$720\div180 = 4$, so $720\times\frac{\pi}{180}=4\pi$.

Answer:

$4\pi$ radians