convert the following angle from degrees to radians. express your answer in simplest form.\n555°

Answer:

$\frac{37\pi}{12}$

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree value

For $555^{\circ}$, we have $555\times\frac{\pi}{180}$.

Step3: Simplify the fraction

First, find the greatest common divisor (GCD) of 555 and 180. The GCD of 555 and 180 is 15. Divide both the numerator and denominator by 15: $\frac{555\div15}{180\div15}\times\pi=\frac{37}{12}\pi$.