how many degrees is $\frac{pi}{10}$ radians?

Explanation:

Step1: Recall conversion formula

We know that $\pi$ radians = 180 degrees. Let $x$ be the number of degrees for $\frac{\pi}{10}$ radians. Then we set up a proportion $\frac{\pi}{180}=\frac{\frac{\pi}{10}}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $\pi\times x = 180\times\frac{\pi}{10}$.

Step3: Solve for $x$

Dividing both sides of the equation $\pi x=18\pi$ by $\pi$ (since $\pi\neq0$), we get $x = 18$.

Answer:

18