Question

what is $-36^{circ}$ converted to radians?
\bigcirc $-5\pi$
\bigcirc $-\frac{5}{\pi}$
\bigcirc $-\frac{\pi}{5}$
\bigcirc $-\frac{1}{5}$

Explanation:

Step1: Recall degree to radian formula

To convert degrees to radians, use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \)

Step2: Substitute the given degree value

We have \( -36^\circ \), so substitute into the formula: \( -36 \times \frac{\pi}{180} \)

Step3: Simplify the expression

Simplify \( \frac{-36\pi}{180} \). Divide numerator and denominator by 36: \( \frac{-36\pi \div 36}{180 \div 36} = \frac{-\pi}{5} \)

Answer:

\( -\frac{\pi}{5} \) (corresponding to the option \( -\frac{\pi}{5} \))