Question

convert the following angle in degrees to radians 345° 345° = radians (simplify your answer. type an exact answer in terms of π. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall conversion formula

We know that to convert degrees to radians, we use the formula $\text{Radians}=\text{Degrees}\times\frac{\pi}{180}$.

Step2: Substitute the given degree - value

Given the degree - value is $345^{\circ}$. Substituting into the formula, we get $345\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{345\pi}{180}=\frac{23\pi}{12}$.

Answer:

$\frac{23\pi}{12}$