Question

Convert LaTeX: \frac{3\pi}{20} radians to degree.

Answer 1

To convert radians to degrees, you can use the following formula:

\[
\text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right)
\]

Now substituting \(\frac{3\pi}{20}\) radians into the formula:

\[
\text{degrees} = \frac{3\pi}{20} \times \left( \frac{180}{\pi} \right)
\]

The \(\pi\) in the numerator and denominator will cancel out:

\[
\text{degrees} = \frac{3 \times 180}{20}
\]

Now, calculate \(3 \times 180 = 540\):

\[
\text{degrees} = \frac{540}{20}
\]

Next, divide \(540\) by \(20\):

\[
\text{degrees} = 27
\]

Therefore, \(\frac{3\pi}{20}\) radians is equal to \(27\) degrees.